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Popular >

simplify (3^{-4})^6

Solution

simplify

(3^{- 4})^{6}

Solution

\frac{1}{3 ^{24}}

+1

Solution steps

(3^{- 4})^{6}

Apply exponent rule:

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

= 3^{- 4 \cdot 6}

Multiply the numbers:

4 \cdot 6 = 24

= 3^{- 24}

Apply exponent rule:

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

3^{- 24} = \frac{1}{3 ^{24}}

= \frac{1}{3 ^{24}}

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Frequently Asked Questions (FAQ)

What is (3^{-4})^6 ?
The solution to (3^{-4})^6 is 1/(3^{24)}