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Popular >

simplify (x^{-4/7})^7

Solution

simplify

(x^{- \frac{4}{7}})^{7}

Solution

\frac{1}{x ^{4}}

Solution steps

(x^{- \frac{4}{7}})^{7}

Apply exponent rule:

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

assuming

a \geq 0

= x^{- \frac{4}{7} \cdot 7}

- \frac{4}{7} \cdot 7 = - 4

= x^{- 4}

Apply exponent rule:

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

x^{- 4} = \frac{1}{x ^{4}}

= \frac{1}{x ^{4}}

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Frequently Asked Questions (FAQ)

What is (x^{-4/7})^7 ?
The solution to (x^{-4/7})^7 is 1/(x^4)