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Georgia [21]
3 years ago
7

What is the simplest form of x^4y^7/ 3√x^10y^4?

Mathematics
2 answers:
SOVA2 [1]3 years ago
6 0

Answer:

D. y^5 ^3sqrtx^2y^2

Step-by-step explanation:

Got it right on edge

Dmitry_Shevchenko [17]3 years ago
4 0

x^4y^7/ (x^10y^4)^1/3

power to a power means multiply

x^4y^7/ (x^(10*1/3)y^(4*1/3)

x^4y^7/ (x^(10/3)y^(4/3)

exponents divided by exponents means subtract the exponents

x^(4-10/3) y^(7-4/3)

x^(12/3-10/3)  y^(21/3 - 4/3)

x^ (2/3) y^ (17/3)

x^ (2/3) y^ (5 2/3)

x^ (2/3) y^ (5 +2/3)

exponents added are the terms multiplied

 (x^ 2/3 y^ 5  y ^ 2/3)

y^ 5    (x^ 2/3 y ^ 2/3)

we can take the 1/3 back out

y^5  ( x^2 y^2) ^ 1/3

Choice D


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Can some please explain how to do the math
UNO [17]

Answer:

The enrollment drop is 12 students per year. The equation is 60=5d. The complete sentence would be the enrollment drop at the after school program dropped 12 students per year, and the equation is 60=5d

Step-by-step explanation:

So I will start with explaining the equation. 60 is the amount of students that dropped, 5 is the year, and d is the enrollment drop rate per year that you are trying to find. The way to use this equation is to isolate d. To do that you divide both sides of the equation by 5, this leaves you with 12 = d. Therefore your yearly enrollment drop is 12 students.


60 = 5d

60/5 = d

60/5 = 12

12 = d

Hopefully this explained your answer.

8 0
3 years ago
Give me example of a unit rate used in real life
lana66690 [7]

Before you begin this lesson, please print the accompanying document, Unit Rates in Everyday Life].

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3 0
3 years ago
The upper quartile of a set of data is the mode of the upper half of the data. <br> True<br> False
Arturiano [62]
I think it might be false, I could be wrong though. 
Hopefully that helped! :) 
7 0
4 years ago
Read 2 more answers
What is the least common multiple of 3 and 9
Tju [1.3M]

LCM(3, 9) = 9

because 9 = 3 × 3

5 0
3 years ago
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Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
zysi [14]

Answer:

The difference in slopes of f(x)\ and\ g(x) is = 3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

y=mx+b

where m represents slope and b represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

f(x) =2x +(-2)

Slope = 2 and y-intercept =-2

g(x) =(-1)x+5

Slope = -1 and y-intercept =5

The difference in slopes of f(x)\ and\ g(x) is = 2-(-1)=2+1=3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

5 0
3 years ago
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