<h3>
Answer: Choice A, x^12y^3</h3>
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Explanation:
Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent
x^4 turns into x^12
y^1 turns into y^3
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This is one way to show your work
(x^4y)^3
(x^4y^1)^3
x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent
x^12y^3
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A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.
(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)
(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)
(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )
(x^4y)^3 = x^12y^3
This is simple algebra :)
First, we can write the question as an algebraic equation.
Given that Doug spent 40 more hours than Laura, we can represent Laura as (x) and Doug as (x+40).
"Doug and Laura spent a combined 250 hours." So we can write this as
(x) + (x+40) = 250
Now simplify:
2x + 40 = 250
Solve x by subtracting 40 from both sides of the equation:
2x = 210
Therefore:
x = 210/2
= 105
So Laura (x) spent 105 hours!
Answer:
4x^2 -34x+42
Step-by-step explanation:
(4x-6)(x-7)
FOIL
first 4x*x = 4x^2
outer 4x*-7 = -28x
inner : -6 *x = -6x
last : -7*-6 = 42
Add them together = 4x^2 -28x-6x +42
=4x^2 -34x+42
Answer:
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Step-by-step explanation:
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nansskqlnzelsksuqqhnqqko
