Question 756300: what are the necessary steps to simplifying the expression (x^3y/xy^2)^-2 Found 3 solutions by algebraic penguin, stanbon, Cromlix:Answer by algebraic penguin(13) (Show Source):
You can put this solution on YOUR website! hello,
We would like to simplify this:
First, we remove the x's and y's in the parentheses. We get . Since we are raising to a negative power, multiplication becomes division or in other words, we reverse the numerator and the denominator, so it is equal to , which is .
Thanks for choosing algebra.com1
You can put this solution on YOUR website! what are the necessary steps to simplifying the expression
(x^3y/xy^2)^-2
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Work from the inside to the outside.
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= (x^2/y)^(-2)
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Invert:
= (y/x^2)^2
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Square:
= y^2/x^4
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Cheers,
Stan H.
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You can put this solution on YOUR website! (x^3 y/x y^2)^-2
1) Cancel x and x^3 leaving x^2 on top
2) Cancel y and y^2 leaving y on bottom
Equation so far:
(x^2/y)^-2
A minus power(-2) means it should be
a denominator. i.e.
3) equation = 1/ (x^2/y)^2
4) (x^2/y)^2 = (x^4/y^2)
Equation so far:
1/ (x^4/y^2)
A fraction as a denominator
turns upside down and becomes
y^2/x^4
Hope this helps.
:-)
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