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Popular >

simplify ((x^2)^{-3})^{1/4}

Solution

simplify

((x^{2})^{- 3})^{\frac{1}{4}}

Solution

\frac{1}{x ^{\frac{3}{2}}}

Solution steps

((x^{2})^{- 3})^{\frac{1}{4}}

(x^{2})^{- 3} : x^{- 6}

= (x^{- 6})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{(- 6) \frac{1}{4}}

(- 6) \frac{1}{4} = - \frac{3}{2}

= x^{- \frac{3}{2}}

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

What is ((x^2)^{-3})^{1/4} ?
The solution to ((x^2)^{-3})^{1/4} is 1/(x^{3/2)}