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Popular >

simplify (x^{-2}y)^{-2}

Solution

simplify

(x^{- 2} y)^{- 2}

Solution

\frac{x ^{4}}{y ^{2}}

Solution steps

(x^{- 2} y)^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(x^{- 2} y)^{- 2} = \frac{1}{( x ^{- 2} y ) ^{2}}

= \frac{1}{( x ^{- 2} y ) ^{2}}

Simplify

(x^{- 2} y)^{2} : \frac{y ^{2}}{x ^{4}}

= \frac{1}{\frac{y ^{2}}{x ^{4}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{4}}{y ^{2}}

Popular Examples

factor 1-216b^3 factor

1 - 216 b^{3}

x^3+11x^2+10x-72>0

x^{3} + 11 x^{2} + 10 x - 72 > 0

factor 4a+12b-4 factor

4 a + 12 b - 4

64 - t < 60

simplify (8ab^2)^{-1/2}(8ab^2)^{1/2}simplify

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is (x^{-2}y)^{-2} ?
The solution to (x^{-2}y)^{-2} is (x^4)/(y^2)