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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} (- 7)}

\frac{4}{7} (- 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)