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Popular >

simplify (27x^{-3}y)^{1/3}

Solution

simplify

(27 x^{- 3} y)^{\frac{1}{3}}

Solution

\frac{3 y ^{\frac{1}{3}}}{x}

Solution steps

(27 x^{- 3} y)^{\frac{1}{3}}

Apply exponent rule:

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

(27 x^{- 3} y)^{\frac{1}{3}} = 2 7^{\frac{1}{3}} (x^{- 3})^{\frac{1}{3}} y^{\frac{1}{3}}

= 2 7^{\frac{1}{3}} (x^{- 3})^{\frac{1}{3}} y^{\frac{1}{3}}

2 7^{\frac{1}{3}} = 3

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

Simplify

(x^{- 3})^{\frac{1}{3}} : \frac{1}{x}

= 3 \cdot \frac{1}{x} y^{\frac{1}{3}}

Simplify

3 \cdot \frac{1}{x} y^{\frac{1}{3}} : \frac{3 y ^{\frac{1}{3}}}{x}

= \frac{3 y ^{\frac{1}{3}}}{x}

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Frequently Asked Questions (FAQ)

What is (27x^{-3}y)^{1/3} ?
The solution to (27x^{-3}y)^{1/3} is (3y^{1/3})/x