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Popular >

simplify \sqrt[-3]{y^{27}}

Solution

simplify

Solution

\frac{1}{y ^{9}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= y^{27 \cdot \frac{1}{- 3}}

27 \cdot \frac{1}{- 3} = - 9

= y^{- 9}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{y ^{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[-3]{y^{27}} ?
The solution to \sqrt[-3]{y^{27}} is 1/(y^9)