(2/5)^8 x (2/5)^-2 / (5/2)^-7

Answers

Answer 1
Answer:

The required answer is ⅖¹³.

Step-by-step explanation:

Given terms to us is :-

[tex]=\bf \dfrac{2}{5}^8 \times \dfrac{2}{5}^{-2}\times \dfrac{5}{2}^{-7}[/tex]

We can see here that two terms have same base that is ⅖ . And the other is 5/2. So for simplifing the expression we will use some laws of exponents , which are :-

a ^m + aⁿ = a^{m + n }a - = ( 1/a )

Using these we have ,

[tex]\bf = \dfrac{2}{5}^8 \times \dfrac{2}{5}^{-2}\times \dfrac{5}{2}^{-7} \\\\\bf= \dfrac{2}{5}^8 \times \dfrac{2}{5}^{-2}\times \dfrac{2}{5}^7 \\\\\bf= \bigg(\dfrac{2}{5}\bigg)^{(8+7-2)}\\\\\boxed{\red{\bf= \dfrac{2}{5}^{13}}}[/tex]

Answer 2
2/5 ^13 is your answer!!!

Related Questions

Help Please! Brainliest if Correct!

Answers

Answer

[tex]\frac{6}{y^4}[/tex]

Step-by-step explanation:

6y−4

=6*y−4

=6*

1

y*y*y*y

=

6

y*y*y*y

=

6

y4

Answer:

[tex]\frac{6}{y^{4} }[/tex]

hope this helps

Step-by-step explanation:

What fraction is equavalient to 1/2
Hiiiiiiiiiiiiiiiii

Answers

Answer:

2/4

Step-by-step explanation:1/2= 2/4

Answer:

4/8, 3/6, 5/10, 6/12, 7/14, 8,16, ETC.

Step-by-step explanation:

Does anyone know the answer to this?

Answers

Answer:

Rectangle

Step-by-step explanation:

(hope this helps!!)

Your answer would be rectangle:)

The table below shows the height and the hand span of five students.


Which pattern of association best describes the relationship between the height and the hand span?





A. no association

B. nonlinear association

C. positive linear association

D. negative linear association

Answers

Positive linear association because increase in two inches higher increase hand span by .5 inches

There is no association between the height and the hand span.

We can only establish an association when there is a consistent rate of increase or decrease between two variables. The increase or decrease is linear when they occur smoothly.

As we can see, we can not establish any particular relationship between the height and the hand span hence we conclude that there is no association between them.

Learn more: https://brainly.com/question/165414

I NEED HELPP IT A QUIZ PLSSS

Answers

Answer:

A

Step-by-step explanation:

Write the product using exponents. (pls help)

Answers

It’s - 3/7 x 3/7 ^ 2

Hope this helpssssss
-3/7•3/7^2. Hope it helps

What is 3\sqrt{2}\cdot2\sqrt{8}\cdot\sqrt{3}\cdot\sqrt{6} in simplest radical form?

Pls help i really need this :/

Answers

Step-by-step explanation:

3√2 * 2√8 * √3 * √6

= 3√2 * 2√4√2 * √18

= 3√2 * 2(2)√2 * √9√2

= 3√2 * 4√2 * (3)√2

= (3√2)² * 4√2

= (18) * 4√2

= 72√2.

It would be 72 square root of 2

How many 1/3 blocks can fit into a 1/2 block?"








Can u help me

Answers

Answer:

Step-by-step explanation:

two blocks 1/3 size would fit into 1/2

Answer:

36 rectangular blocks will fit into the cube-shaped block. ... this problem is asking for how many full blocks could fit, not how many parts of blocks could fit. ... For example, suppose each block was 12" by 1" by (1/2)

Step-by-step explanation:

Please help me! I'm stuck and really confused, thank you so much!

Answers

Answer:

(a) [tex]5 * (2x - 1) = 10x - 5[/tex]

(b) [tex]6 * x = x + 2x + 3x[/tex]

(c) [tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]

(d) [tex]y(3x + 4z) = 3xy + 4yz[/tex]

(e) [tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex]10x - 5[/tex]

Required

Express as a product

Express 10x as 5 * 2x

[tex]10x - 5 = 5 * 2x - 5[/tex]

Apply distributive property

[tex]10x - 5 = 5(2x - 1)[/tex]

[tex]10x - 5 = 5 * (2x - 1)[/tex]

So:

[tex]5 * (2x - 1) = 10x - 5[/tex]

Solving (b):

Given

[tex]x + 2x + 3x[/tex]

Required

Express as a product

Express 2x and 3x as 2 * x and 3 * x, respectively

[tex]x + 2x + 3x = x + 2*x + 3*x[/tex]

Apply distributive property

[tex]x + 2x + 3x = x(1 + 2 + 3)[/tex]

[tex]x + 2x + 3x = x(6)[/tex]

[tex]x + 2x + 3x = 6*x[/tex]

So:

[tex]6 * x = x + 2x + 3x[/tex]

Solving (c):

Given

[tex]\frac{1}{2}(x - 6)[/tex]

Required

Express as a sum/difference

Apply distributive property

[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6[/tex]

[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}[/tex]

[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]

Solving (d):

Given

[tex]y(3x + 4z)[/tex]

Required

Express as a sum/difference

Apply distributive property

[tex]y(3x + 4z) = 3x * y + 4z * y[/tex]

[tex]y(3x + 4z) = 3xy + 4yz[/tex]

Solving (e):

Given

[tex]2xyz - 3yz + 4xz[/tex]

Required

Express as a product

Factorize

[tex]2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z[/tex]

Apply distributive property

[tex]2xyz - 3yz + 4xz = z(2xy - 3y + 4x)[/tex]

So:

[tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]

Help with the question plz




EXPLAIN TOO!

Answers

Answer:

it's B

Step-by-step explanation:

Answer:B





Explaining: I ready math dianostic

Solve for x.
Your answer must be simplified. −30< x/-4

Answers

Answer:

x<120 i think

It’s actually 7.5>x :))))

Please please help no scames ty

Answers

Answer:

not mine sorry

Answer:

7059079318

Step-by-step explanation:

M1ZLSm9lRFozZmR1M0N1QXEwd2pidz09

20 times what equals 8

Answers

8x=20

x=2.5

To check

8(2.5)=20

Answer:

The answer is 0.4

Step-by-step explanation:

Because 8 divided by 20 is 0.4

Hope this helped have a great day

the value of the expression is?

Answers

Answer:

24

Step-by-step explanation:

u can do mental math or use a calculator

the answer would be 24

Please help!!! Due in 30 mins!!!

Answers

It’s A. $25.20
You find the rate you dividing the cost ($18) by how many gallons (5). Then you multiply by what you are looking for (7 gallons). You get 25.20.
It’s going to A for sure like 100000%

Without solving the systems, explain why the following systems must have the same solution.

System (a): 4 − 5 = 13 System (b): 8 − 10 = 26
3 + 6 = 11 − 11 = 2

Answers

Both systems have the same solution because of you simplify system B, it will become exactly the same as system A
(basically system b is 2(4x-5y=13) )
Xnexiejxwsxdbxjdxeddkxenxkewkdfsswxeddkns

Sara and Ellie have $60 to spend on a gift for their mom. They want to buy her a bracelet that costs $62.50. What is the minimum discount that they need to be able to buy the bracelet including the CT tax?
Please show your work!

Answers

Answer:

Simplify the expression. 4x - 3 + 8x - 5 - 3x

Step-by-step explanation:

the renaissance is in a black shirt lol i shirt and green shirts and shirts for halloween shirt and shirt shirt and green shirt and shirt shirts lol i shirts shirts shirt and shirt shirts shirts shirt shirt.

4.6x10^10/ 1.2x 10^3 simplified

Answers

Answer:

i hope this helps

Step-by-step explanation:

this might help or you could use symbolab

Nikki, Kylie and Andy are arguing about who has the biggest candy bar. Below are their measurements of each candy bar:

Nikki's candy bar: 9.99 oz
Kylie's Candy Bar: 1.999 oz
Andy's Candy bar: 10.0 oz

Who has the heaviest candy bar? How do you know?

Answers

Answer:

Andy.  

Step-by-step explanation:

10 is greater than 9.99 by 0.01.  10 is also greater than 1.999 by 8.001

The answer is Andy hope that helped and have a great day

pleaseeee
help
meeee

Answers

Answer:

rotate the object 90° about the point of origin

Step-by-step explanation:

Rotate it 90° let me know if I got it right

Bob puts $500 into an account that pays 5% interestc ompounded anually. What is the balance after 5 years?

a
$525.25
b
$625.00
c
$526.72
d
$638.14

Answers

Answer:

b

Step-by-step explanation:

I believe it is B if 500x0.05 =25x5=125+500=625

8 rows of 7 squares.
What is 56 ÷ 7?

Answers

Answer: 56 ÷ 7 = 8

because 58 divided by 7 equals 8 and 7 times 8 equals 54

-6(12p-8n) Please help me with this distributive property question.

Answers

Answer:

=48n−72p

Step-by-step explanation: Good luck

Answer:

48n−72p

Step-by-step explanation:

−6(12p−8n)

=(−6)(12p+−8n)

=(−6)(12p)+(−6)(−8n)

=−72p+48n

=48n−72p

Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?

Answers

Answer: A

Step-by-step explanation:

Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The law of large numbers states that as the sample size increases, the observed frequency of an event will converge to the expected frequency based on the theoretical probability of the event. In this case, the expected frequency of pulling a blue pen is 3/6 or 1/2, which is based on the theoretical probability of pulling a blue pen.

Although Ron pulled a blue pen only 1 time in 4 trials, it is important to note that he replaced the pen each time.

This means that each trial was independent of the others, and the probability of pulling a blue pen in each trial remained the same at 3/6 or 1/2.

As Ron continues to repeat the trials and increase the sample size, the observed frequency of pulling a blue pen will become closer and closer to the expected frequency of 1/2, as predicted by the law of large numbers.

Therefore, Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.

To learn more on probability click:

https://brainly.com/question/11234923

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Which two fractions name point P on the number line?

Number line and choices shown in picture..... plss help me btw I’ll give u branliest if u get it right

Answers

The answer is A 1/6 or 2/12.

The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The section from zero to one is divided into 12 equal parts. And point P lies in the second section. Then the location of the point P will be given as,

⇒ 2 / 12

⇒ 1 / 6

The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.

More about the number line link is given below.

https://brainly.com/question/13189025

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HELP ME ILL GIVE BRAINLIEST AND A THANK YOU There are 650 people expected to donate to the fundraiser. Each person who donates to the fundraiser will receive 10 tickets to put towards prizes. There are 100 tickets on each strip of tickets.

Answers

65 strips will be needed
65 strips are required

need help asap
please

Answers

5. V’(5,3) A’(3,-1) G’(0,3)

6. Translate 90° counterclockwise

i need help figuring this out step by step

Answers

Answer:

X-intercepts: (2,0) and (4,0)

Vertex: (3,-1)

Step-by-step explanation:

1) First, let's find the x-intercepts. The x-intercepts are the points at which the graph intersects the x-axis. Look at the x-axis. The x-axis is crossed at two points, (2,0) and (4,0). Therefore, those are the x-intercepts.

2) Now, let's find the vertex. For parabolas, the vertex can either be the lowest point of the graph (the minimum) or the highest point on the graph (the maximum). So, seeing how the graph goes up until infinity, find the lowest point the graph hits. Reading the graph, it would be (3,-1).

A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.

Answers

Answer:

2.45$

Step-by-step explanation:

(HELPP PLEASE worth a lot of points)Use the bar graph to find the experimental probability of rolling a number less than 7. what is the experimental probability?

Answers

It’s 1 because all number less than 7 is rolled

Answer:

7

Step-by-step explanation:

Good luck allllll the best! God bless youu

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