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Popular >

simplify (4x^2y^{-2})^2

Solution

simplify

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

Solution

\frac{16 x ^{4}}{y ^{4}}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 x^{2} y^{- 2})^{2} = 4^{2} (x^{2})^{2} (y^{- 2})^{2}

= 4^{2} (x^{2})^{2} (y^{- 2})^{2}

4^{2} = 16

= 16 (x^{2})^{2} (y^{- 2})^{2}

Simplify

(x^{2})^{2} : x^{4}

= 16 x^{4} (y^{- 2})^{2}

Simplify

(y^{- 2})^{2} : \frac{1}{y ^{4}}

= 16 x^{4} \frac{1}{y ^{4}}

Simplify

16 x^{4} \frac{1}{y ^{4}} : \frac{16 x ^{4}}{y ^{4}}

= \frac{16 x ^{4}}{y ^{4}}

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Frequently Asked Questions (FAQ)

What is (4x^2y^{-2})^2 ?
The solution to (4x^2y^{-2})^2 is (16x^4)/(y^4)