Simplify using the laws of exponents.

[2⁴/2³]⁵

Answers

Answer 1

To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.

It is asking us to simplify it using exponents.

Exponents are these little numbers beside a big number Telling it how much you multiply it by.

EXAMPLES

2^3 is just 2x2x2

2^4 is just 2x2x2x2

Notice the pattern? I hope so!

Now 2 to the power of 4 is 16. Our new equation looks like this

{16/2^3}^5.

Now 2 to the power of 3 is 8.

So, our new equation is

{16/8}^5

In which you get 2^5 which is just 2x2x2x2x2

And you get 32 as the final answer

I hope this helped and if you have questions just tell me!!


Related Questions

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.


$28.53


$26.60


$27.83


$25.23

Answers

The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The given parameters:

Number of passenger = 1Total distance = 9.5 milesCost of first 0.2 mile = $0.75Cost of additional mile = $0.55Cost of a passenger = $1.50

The fare without tip for the Metro Taxi is calculated as follows;

for the first 0.2 mile = $0.75the remaining distance = 9.5 - 0.2 = 9.3 miles

[tex]cost \ of \ distance = \$ 0.75 \ \ + \ \ \frac{\$ 0.55}{0.2 \ mile} \times 9.3 \ miles\\\\cost \ of \ distance = \$ 26.325[/tex]

Cost of 1 passenger = $1.50

The total cost is calculated as follows;

total cost = $1.50 + $26.325

total cost = $27.83

Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The complete question is below:

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.

Metro Taxi: first 1/5 mi= $0.75, each additional 1/5 mi= $0.55, each additional passenger= $1.50.

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Find 48.9% of 264.Round to the nearest hundredth

Answers

Step-by-step explanation:

Simply divide the percent by 100 and multiply by the number. For example, 48.9 /100 x 264 = 129.096 or 0.489 x 264 = 129.096

Rounded to nearest hundredth

= 129.10

Answer:129.10

Step-by-step explanation:

Simply, the equation for the percentage value of a number is:

x*(z%/100%)=y

where x is your initial value, z is your percentage value, and y is the resultant value

for this question, the equations gives us as follows

264*(48.9%/100%)=129.096=129.10

Solve for m.


m+13<−214



m>−11112


m>−2712


m<−11112


m<−2712

Answers

Answer:

You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^

The correct answer is m<- 2  7/12

Step-by-step explanation:

This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities

Good luck everyone of the rest !!!!

The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

What is inequality? What is a mathematical function, equation and expression?                inequality : An inequality is used to compare two expressions or numbers.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given are the inequalities and it is asked to solve for [m].

The given inequalities are given as follows -

m + 13 < − 214

m > − 11112

m > − 2712

m < − 11112

m < − 2712

Now, we can write -

m + 13 < − 214

m < - 214 - 13

m < - 227

Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)

Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

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Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.

Answers

8 apples and 4 bananas as 8x =£8.00 and 4y=£2.00 and 8+4=12 and £8+£4=£10

23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?

Answers

Answer:

230/p = 23/100 You would need 1,000 g of snack mix.

Step-by-step explanation:

There are 1000 snack mix would be needed to get 230g of almonds.

Given that;

23% of a snack mix is almonds.

And, there are 230g of almonds.

Let us assume that;

The number of snacks = x

Hence, it can be written as,

23% of x = 230

23/100 × x = 230

23x = 23000

x = 23000/23

x = 1000

Therefore, The number of snacks = 1000 g

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On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).

Answers

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

The coordinates of the triangle are given as:

[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]

Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

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PLZZZZZZZZZ HELP 30 POINTS AND BRAINLIEST



Cotton farmers constantly battle with insects that want to eat their crops. Geneticists created transgenic cotton with leaves that repelled insects, such as caterpillars.

Which statement best describes an unintended negative consequence of creating the transgenic cotton?


The cotton plants grew at increased rates but produced fewer flowers.

The cotton produced more and larger flowers.

The cotton began dying very quickly.

The caterpillars instead ate the cotton flowers and damaged cotton production.

Answers

hi have a nice day,❤️

Occurrence of diversity in ecosystem sustains particular characteristic of a biological community and also ensures stability of the community. Transgenic crops may affect insect biodiversity by unintended impacts on non-target arthropod population. For example, transgenic GM cotton specific to target lepidopterous pests can change the cotton pest spectrum and may induce the growth of new harmful pest species having no pest status. The change in species composition may influence IPM approach in cotton crop. The results of authors’ research studies as well as global impact indicate that GM cotton is highly specific to target pests and has no unintended impact on non-target insect population. GM cotton provides significant season-long field control of target pests (Helicoverpa armigera, Earias spp. and Pectinophora gossypiella), with no significant control of Spodoptera species. The decreased insecticide use in GM cotton has a positive impact on beneficial insect populations and can increase the stability of rare species.

Answer:

The caterpillars instead ate the cotton flowers and damaged cotton production.

Explanation:

Bt cotton was developed for cold temperate countries like the US where pests are limited - chiefly the bollworm, against which the Bt toxin works and pest load in fields is not high.

But the problem is with the warmer climates like India, where bollworms flourish. Over time, because of the sheer amount of bollworms in warmer climates like India or Southern United States, these bollworms grown an immunity to the Bt toxin and we are back to square one.

~That's All Folks~

-Siascon

All you need is on the photo


Please don't answer randomly if you answer randomly you are gonna lose points

Answers

Answer:

no since the ratios of the corresponding sides are not proportional

need helpppppp plz .

Answers

Answer:

A) x=10

Step-by-step explanation:

All the angles in a triangle will add to equal 180°.

Knowing this, we can set up an equation.

(8x+5) + (5x-1) + (4x+6)= 180°

In order to solve, we must first combine like terms. (These can be found on the left side of the equation).

8x+5x+4x= 17x

5+ (-1) + 6= 10

We can now rewrite our equation as follows:

17x+10=180°

Subtract 10 from both sides.

17x+10=180°

    - 10   -10

17x=170°

Divide by 17 on both sides.

17x=170°

----   -----

17      17

x= 10°

The answer is x=10°.

amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?

Answers

Answer:

$27,444.80

Step-by-step explanation:

12% of 22,540 is 2,704.8

add the amount she made

add the weekly salary (550 × 4)

a locker room contains 21 books. you select 7 books at random. how many different sets of books can you select

Answers

Answer:

14

Step-by-step explanation:

3x7=21 you take away 7 books you would have 14 left or 7x2

A biking track has the lenght of 0.95 mi. How long is this in feet?

Answers

Answer:

5016 feet

Step-by-step explanation:

The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?

Answers

Answer:

17 ft 8 in

Step-by-step explanation:

Josue broke a cell sample into 12 batches, each weighing 6.9 x 10 ^-10
grams. How much did the original sample weigh? Use scientific notation to express your answer.

Answers

Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

This question is solved by proportions, using a rule of three.The weight of 1 batch, in grams, is of [tex]6.9 \times 10^{-10}[/tex]. How much do the sample of 12 batches weigh?

The rule of three is:

1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.

12 batches - x grams

Applying cross multiplication:

[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]

Applying scientific notation:

[tex]8.28 \times 10^{-9}[/tex]

The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

You can learn more about proportions at https://brainly.com/question/24372153

What is the slope of the line through (2, -1) and (-2, -3)?

Answers

[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]

Answer:

Step-by-step explanation:

Using slope formula:

(y2-y1)/(x2-x1)

(-3 + 1) / (-2-2)

-2/-4

slope: 1/2

15.21 x 0.72 can somebody help its an assignment

Answers

Answer:

10.9512

Step-by-step explanation:

Answer:

10.9512 (not sure if u have to round it)

Step-by-step explanation:

Calculate the speed of an object from 0-1 sec.

Answers

Answer:

. 2 m/s

Step-by-step explanation:

Speed is defined as the rate of change in distance per time.

in this case you can simply observe the graph to get the final and initial distances & time.

The motion starts from 0 and moves to 2 if you look at the y axis of the graph.

Thus, the initial distance is 0m & the final distance is 2m

The time is specified in the question to have an initial of 0 sec and a final of 1 sec.

now let's plot our values out as a given.

S1 = 0m t1 = 0 sec

S2 = 2m t2 = 1 sec

and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t

∆S = S2 - S1 = 2m - 0m = 2m.

∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.

∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)

Is the figure a right triangle?


A yes, the relationship of the sides follows Pythagorean theorem

B no, the relationship of the sides DOSE NOT follow Pythagorean theorem

C no, the relationship of the sides follows Pythagorean theorem

D Yes, the relationship of the sides DOSE NOT follow Pythagorean theorem

Answers

Answer:

c will correct..

like

h² = p² + b²

14² = 74 + 122

196 = 196

The answer is B
Hope this helps

I don’t get this at all ‍♂️

Answers

I wish I could help but I’m struggling myself :(

Help me plzzzzz
y=__×+__​

Answers

Y=-1/4x-6. There you go

If you help me you get 100 points please helppppppp

Answers

Answer:

25

Step-by-step explanation:

5 squared equals 25. That is all you need to know in this case

can someone help me. these are due tonight.

Answers

Answer:

x = 4

Step-by-step explanation:

3x-4 = 8

3x = 12

x = 4

good luck

Answer:

x = 4

Step-by-step explanation:

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

The art club had an election to select a president. 100% of the 31 members of the club voted
in the election. How many members voted?

Answers

Answer:

31

Step-by-step explanation:

it takes 5 days to repair 1250 meters of road.

At this rate, how many days will it take to repair 8 kilometers of road?

Answers

Answer:

2000 Meters

Step-by-step explanation:

First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.

The answer is 32 days

8 kilometres is 8000 meters

We know that 1250 meters takes 5 days, so we can work out how many times 1250 goes into 8000 to find out how many times longer it will take


8000 / 1250 is 6.4

It will take 6.4 times longer to produce 8km

6.4 x 5 is 32

32 days

During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations

Answers

The system of equations representing the number of Blue-ray discs and DVD's after t months are:

507 + 26t

925 - 12t

Each month, the number of DVD's sold decreases by 12, this can be modelled as:

number of DVD in opening month - (monthly decrease x number of months)

Number of DVD's in t months = 925 - 12t

Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:

number of blue-ray discs in opening month + (monthly increase x number of months)

Number of Blue-ray discs in t months = 507 + 26t

To learn more about growth rate, please check: https://brainly.com/question/18760477

Why are scarcity and choice basic economic questions faced by every society?

Answers

Some areas can not afford the amount of stuff we have, like they can’t afford basic needs while we can afford needs and wants after needs. They have to use the amount they can for food and water.

Given that(16 watermelons cost $48) which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. (A) 16:48 B) 3:1 C 1:3 D 48:16 E) 3:9 le 5​

Answers

Answer:

A, C, and E

Step-by-step explanation:

if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.

George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.

Answers

Answer:

Step-by-step explanation:

68 1/4

The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.

What is a mixed fraction?

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Assume the distance covered before their first stop for gas be 'x'

Total distance travelled is 381  miles

We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is

x + 3x + 58 3/4  = 381

4x + 58 3/4  = 381

x=68 1/4 in mixed fraction

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We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.

Answers

Answer:

W = 16 2/3 yards

L = 3 1/3 yards

Step-by-step explanation:

A rectangle will consist of two sides with length L, and two more sides with length W.  Area will be W*L.

We are told that L is 30 yards less than 2W:

L = 2W - 30

We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.

Therefore, we can write:  2W + 2L = 60 yards.

I see the words "need to use," so I must conclude that all of the fencing must be used.  This sounds like a domestic issue.

Let's use L=2W-20 in the equation 2W + 2L = 60:

2W + 2L = 60

2W + 2(2W-20) = 60

2W + 4W-40 = 60

6W =100

W = (100/6) = 16 2/3 yards

L = 2W - 30

L = 2(16+(2/3)) - 30

L = 33 1/3 - 30

L = 3 1/3 yards

===============

Is the length 30 yards less than twice the width?

2W = 33.33

33.33 - 3.33 = 30 yards  YES

Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?

Answers

Answer: Tim weighs 90 lbs and his brother weighs 130 lbs

tim weighs 80 and his brother weighs 130
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