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Popular >

simplify (32x^5y^{-10})^{1/5}

Solution

simplify

(32 x^{5} y^{- 10})^{\frac{1}{5}}

Solution

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

Solution steps

(32 x^{5} y^{- 10})^{\frac{1}{5}}

Apply exponent rule:

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

(32 x^{5} y^{- 10})^{\frac{1}{5}} = 3 2^{\frac{1}{5}} (x^{5})^{\frac{1}{5}} (y^{- 10})^{\frac{1}{5}}

= 3 2^{\frac{1}{5}} (x^{5})^{\frac{1}{5}} (y^{- 10})^{\frac{1}{5}}

3 2^{\frac{1}{5}} = 2

= 2 (x^{5})^{\frac{1}{5}} (y^{- 10})^{\frac{1}{5}}

Simplify

(x^{5})^{\frac{1}{5}} : x

= 2 x (y^{- 10})^{\frac{1}{5}}

Simplify

(y^{- 10})^{\frac{1}{5}} : \frac{1}{y ^{2}}

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is (32x^5y^{-10})^{1/5} ?
The solution to (32x^5y^{-10})^{1/5} is (2x)/(y^2)