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Popular >

simplify (6^{-1})^4

Solution

simplify

(6^{- 1})^{4}

Solution

\frac{1}{1296}

+1

Solution steps

(6^{- 1})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 6^{- 1 \cdot 4}

Multiply the numbers:

1 \cdot 4 = 4

= 6^{- 4}

Apply exponent rule:

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

6^{- 4} = \frac{1}{6 ^{4}}

= \frac{1}{6 ^{4}}

6^{4} = 1296

= \frac{1}{1296}

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Frequently Asked Questions (FAQ)

What is (6^{-1})^4 ?
The solution to (6^{-1})^4 is 1/1296