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Popular >

simplify (5x^{-2}*y^3)^2

Solution

simplify

(5 x^{- 2} \cdot y^{3})^{2}

Solution

\frac{25 y ^{6}}{x ^{4}}

Solution steps

(5 x^{- 2} y^{3})^{2}

Apply exponent rule:

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

(5 x^{- 2} y^{3})^{2} = 5^{2} (x^{- 2})^{2} (y^{3})^{2}

= 5^{2} (x^{- 2})^{2} (y^{3})^{2}

5^{2} = 25

= 25 (x^{- 2})^{2} (y^{3})^{2}

Simplify

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

= 25 \cdot \frac{1}{x ^{4}} (y^{3})^{2}

Simplify

(y^{3})^{2} : y^{6}

= 25 \cdot \frac{1}{x ^{4}} y^{6}

Simplify

25 \cdot \frac{1}{x ^{4}} y^{6} : \frac{25 y ^{6}}{x ^{4}}

= \frac{25 y ^{6}}{x ^{4}}

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Frequently Asked Questions (FAQ)

What is (5x^{-2}*y^3)^2 ?
The solution to (5x^{-2}*y^3)^2 is (25y^6)/(x^4)