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Popular >

simplify (5x^2y^{-1})^2

Solution

simplify

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

Solution

\frac{25 x ^{4}}{y ^{2}}

Solution steps

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

Apply exponent rule:

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

(5 x^{2} y^{- 1})^{2} = 5^{2} (x^{2})^{2} (y^{- 1})^{2}

= 5^{2} (x^{2})^{2} (y^{- 1})^{2}

5^{2} = 25

= 25 (x^{2})^{2} (y^{- 1})^{2}

Simplify

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

= 25 x^{4} (y^{- 1})^{2}

Simplify

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

= 25 x^{4} \frac{1}{y ^{2}}

Simplify

25 x^{4} \frac{1}{y ^{2}} : \frac{25 x ^{4}}{y ^{2}}

= \frac{25 x ^{4}}{y ^{2}}

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Frequently Asked Questions (FAQ)

What is (5x^2y^{-1})^2 ?
The solution to (5x^2y^{-1})^2 is (25x^4)/(y^2)