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Popular >

simplify (2x^{-1}y^2)^2

Solution

simplify

(2 x^{- 1} y^{2})^{2}

Solution

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

Solution steps

(2 x^{- 1} y^{2})^{2}

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 (x^{- 1})^{2} (y^{2})^{2}

Simplify

(x^{- 1})^{2} : \frac{1}{x ^{2}}

= 4 \cdot \frac{1}{x ^{2}} (y^{2})^{2}

Simplify

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

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

Simplify

4 \cdot \frac{1}{x ^{2}} y^{4} : \frac{4 y ^{4}}{x ^{2}}

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

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Frequently Asked Questions (FAQ)

What is (2x^{-1}y^2)^2 ?
The solution to (2x^{-1}y^2)^2 is (4y^4)/(x^2)