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Popular >

simplify (g^5)^{-1}

Solution

simplify

(g^{5})^{- 1}

Solution

\frac{1}{g ^{5}}

Solution steps

(g^{5})^{- 1}

Apply exponent rule:

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

assuming

a \geq 0

= g^{5 (- 1)}

5 (- 1) = - 5

= g^{- 5}

Apply exponent rule:

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

g^{- 5} = \frac{1}{g ^{5}}

= \frac{1}{g ^{5}}

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Frequently Asked Questions (FAQ)

What is (g^5)^{-1} ?
The solution to (g^5)^{-1} is 1/(g^5)