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Popular >

simplify (x^5)^{-3}

Solution

simplify

(x^{5})^{- 3}

Solution

\frac{1}{x ^{15}}

Solution steps

(x^{5})^{- 3}

Apply exponent rule:

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

assuming

a \geq 0

= x^{5 (- 3)}

5 (- 3) = - 15

= x^{- 15}

Apply exponent rule:

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

x^{- 15} = \frac{1}{x ^{15}}

= \frac{1}{x ^{15}}

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Frequently Asked Questions (FAQ)

What is (x^5)^{-3} ?
The solution to (x^5)^{-3} is 1/(x^{15)}