Answers
Answer:
1. r^5
2. st^2
3. qr (the two "s" cancel each other out)
4. z (the x^2's and y^2's cancel each other out)
5. m (the n^2's and o's cancel each other out)
6. x
7. z^-1
8. a (the b^2's cancel each other out)
9. d^4 f^2
Step-by-step explanation:
When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.
The simplified expressions are given below.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
1) We have the division rule of exponents that,
xᵃ / xᵇ = xᵃ⁻ᵇ
Using this,
r⁶ / r = r⁶⁻¹ = r⁵
2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²
3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr
s⁰ = 1, since any number raised to zero is always one.
4) x²y²z / x²y²z
Both numerator and denominator are same.
So the quotient is 1.
5) m³n²o / m²n²o
n²o gets cancelled both in the numerator and denominator.
m³n²o / m²n²o = m³⁻² = m
6) x² / x = x²⁻¹ = x
7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹
8) a²b² / ab²
b² gets cancelled since they are same in both numerator and denominator.
a²b² / ab² = a²⁻¹ = a
9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²
Hence the simplified form of each of the expressions is given.
Learn more about Exponents here :
https://brainly.com/question/27850853
#SPJ3
Related Questions
WILL GIVE BRAINLIEST TO ANSWER
Answers
Answer:
A , D , E
Step-by-step explanation:
Substitute x = 2 into f(x) and check if the result is 4
(a)
f(2) = 2² = 4 ← then f(2) = 4
(b)
f(2) = 2 + 6 = 8 ≠ 4
(c)
f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4
(d)
f(2) = 2² = 4 ← then f(2) = 4
(e)
f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4
What is 10/16-3/16=
Answers
Answer:
7/16
Step-by-step explanation:
please give brainliest
Help me with the question in the image it’s geometry
Answers
Answer:
<BAC=100°
Step-by-step explanation:
<ACB = <DCE - vertical angles are congruent
<ACB = 45° - substitute <DCE = 45° <ACB = <DCE
<ABC + <ACB + <BAC = 180° - angle sum theorem
35° + 45° + <BAC = 180° - substitute <ABC = 35°, <ACB = 45° INTO <ABC + <ACB + <BAC = 180 °
35°+ 45° + <BAC = 180°
180° - 80° = 100
How many ways can you make the number 2? (Using consecutive numbers)
Answers
Answer
For any two consecutive odd numbers, the difference is 2. For example, 3 and 5 are two consecutive odd numbers, their difference = 5 - 3 = 2. For any two consecutive even numbers, the difference is 2. For example, 6 and 8 are two consecutive even numbers, their difference = 8 - 6 = 2.
A functionf(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answers
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Which of the following ordered pairs make this
equation true?
y = 2x + 1
A. (1,2)
B. (2,5)
C. (7,3)
D. (9, 4)
Answers
Answer:
B. (2, 5)
Step-by-step explanation:
If x = 2,
y = 2(2) + 1
= 5.
Find the cube of the number 50
Answers
Answer:
125000
Step-by-step explanation:
What is the answer for x?
Answers
Answer:
x = -5/7
Step-by-step explanation:
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4,-6)
Answers
Answer:
Step-by-step explanation:
gradient = y2-y1/x2-x1
-6-0/4-12
-6/-8
=3/4
Which of the following expressions is equivalent to 4(2x+y) ?
Answers
Answer:
what expressions
Step-by-step explanation:
Answer:
Step-by-step explanation:
First expand the expression so you know the coefficients of x and y.
4(2x+y+2y) = 4(2x+3y) = 8x+12y
8x+12y = 8x+12y
6x+7y ≠ 6x+12y
8x+y+2y = 8x + 3y ≠ 8x+12y
8x+4y+8y = 8x+12y = 8x+12y
hope this help
kuisssss
hi how are you?
[tex] \sf {3}^{2} \div 9 = [/tex]
pakai cara
Answers
Answer:
1
Step-by-step explanation:
[tex] {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 [/tex]
Moga Membantu ^-^
Answer:
The solution is 1
Step-by-step explanation:
3²÷9
= 9÷9
= 1
writing carla has already written 10 pages of a novel she plans to write 15 additional pages per month until she is finished A.write an equation to find the total number of pages P written after any number of months MB. graph the equation on the grid at the rightC. find the total number of pages written after 5 months
Answers
Answer:
P = 5M + 10
Step-by-step explanation:
15 pages/month * M months + 10 pages = P pages
5 Months = 5*15 + 10 = 85 pages
Solve the equation for the y-value and choose whether it is a direct variation or inverse variation
xy = 7
Answers
Answer: Choice B
y = 7/x
inverse variation
=========================================================
Explanation:
We divide both sides by x to isolate y. That's how we go from xy = 7 to y = 7/x
This is an inverse variation because it's in the form y = k/x. The constant is k = 7.
Help me please this is due please help
Answers
Answer:
2.8in^2
Step-by-step explanation:
3.2 * 0.875 = 2.8
Hello there!
To find the area of this rectangle, we must multiply the length times the width:
A=[tex]3\frac{1}{5} *\frac{7}{8}[/tex]
Let's convert the mixed number into an improper fraction:
[tex]\frac{16}{5} *\frac{7}{8}[/tex]
Do you see what I see?
16 and 8 can be reduced. Divide by 8:
[tex]\frac{2}{5} *\frac{7}{1}[/tex]
Now multiply:
[tex]\frac{14}{5} \\[/tex]
Hope it helps you!
#HaveAnAmazingDay
~Just a joyful teen
[tex]GraceRosalia :)\\****************************************\\Comment:[/tex]
If my answer was helpful, please mark Brainliest! :)
Can y'all help me this question ASAP this all I need
Answers
25/40x+ 8/40x = 99
This can be simplified to:
33/40x = 99
Next times both sides by 40
33x = 3960
Then, divide both sides by 33
x = 3960/33
x = 120
Kayla bought 16 bagels. Each bagel cost $1.50. She paid a total of $20. Write an equation to determine how many bagels she bought.
Answers
I think it’s that, hope this helps
=
?
(5
4
⋅b
−10
)
−6
Answers
[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]
[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]
[tex]\frac{b^{60} }{5^{24} }[/tex]
plsss help me with this:(((
Answers
Answer:
[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]
Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x).
x2 − 8x − 33
x2 − 8x + 14
x2 + 8x + 14
x2 + 8x − 33
Answers
(x-3)(x+11)
x^2 + 11x - 3x - 33
x^2 + 8x - 33
Solution: D
Answer:
D) x^2 + 8x - 33
Step-by-step explanation:
I took the quiz and got a 100%
who wants points answer this ;)
5 x 5
Answers
Answer:
25
Step-by-step explanation:
ez thanks for the fr3e points
Have a good day bro cya)
write factors of a2b
Answers
Answer:
The factors of a^2b is a×a×b.
SHOW YOUR WORK FOR EACH ONE!
5. 10(x − 1)
6) −7(1 + 4x)
7) 7(−v − 7)
8) 7(2 − x)
9) 4(−7 − x)
10) 5(k − 5)
Answers
Answer:
PLZ MARK BRAINLIEST
Step-by-step explanation:
5. Distribute 10 (x - 1 )
10x - 10 = 10x -10
6. -7 (1+4x)
-7 ( 4x +1)
= -28x -7
7. 7 (-v-7)
= - 7v - 49
8. 7 ( 2 - x )
7 (- x + 2 )
= - 7 x + 14
9. 4 ( - 7 - x )
4 ( - x - 7)
= -4 x -28
10. 5 ( k - 5 )
5k - 25
= 5k - 25
8 divided by 1 4/5 Arithmetic operation
Answers
Answer:
4.4
Step-by-step explanation:
Kim has no more than $500 to spend on home repairs. HandyMan Co is charging her $125 for supplies needed and $25 per hour. Write and solve an inequality to show how many hours of repair she can afford.
Answers
Divide the numbers.
$125 divded by $25 = 5
Answer: Kim can afford 5 hours lf repair time. (Brainlest?)
Have a good rest of your day/night!!
Victor has 2 times as many trophies as dean . Together, victor and Dean have 27 trophies . How many trophies does victor have?
Answers
Answer:
18
Step-by-step explanation:
9 + 18 = 27
9 x 2 = 18
Are the two lines parallel?
If so, then what is the slope?
Yes, and the slope is 2.
Yes, and the slope is 5/2
res, and the slope is 2/5
No, They are not parallel
Answers
Answer and Step-by-step explanation:
(3rd option) The two lines are parallel, and they have a slope of [tex]\frac{2}{5}[/tex].
First, we can see that the two lines look parallel (meaning that if you were to go beyond what the graph shows (unless the graph shows an intersection), the lines at no point will intersect).
Second, If you found the slope of each line as well, (slope = rise over run, count up and then count right in this scenario from any point), they are the same, meaning they must be parallel to each other.
#teamtrees #PAW (Plant And Water)
I hope this helps!
C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77
Answers
Answer:
98
Step-by-step explanation:
how would I solve this??
Answers
Answer:
y = 140
Step-by-step explanation:
you'd do:
y=25(7)-35
y=175-35
y=140
to double-check your math:
140 = 25(7)-35
both sides will equal 140 (or the same value) if done properly
PLEASE HELP IT’S DUE TMR
you only have to answer F
Answers
Answer:
1 bat : 0 hits
Step-by-step explanation:
To get this unit rate all you have to do is divide both sides by 4.
(4/4) : (0/4) = 1:0
We get the same number of hits as in the original problem because 0 divided by any number (other than 0) will always equal 0.
Can I get brainliest please?
4/s-3 + s/2 = -2
Need help please
Answers
Step-by-step explanation:
Given equation is 4/(s-3) + (s/2) = -2
=> [(4×2)+s(s-3)]/2(s-3) = -2
=> (8+s²-3s)/(2s-6) = -2
=> 8+s²-3s = -2(2s-6)
=> 8+s²-3s = -4s+12
=> s²-3s+8+4s-12 = 0
=> s²+s-4 = 0
The standard form is s²+s-4 = 0