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Popular >

simplify (6^2*6^{-3})^{-3}

Solution

simplify

(6^{2} \cdot 6^{- 3})^{- 3}

Solution

216

Solution steps

(6^{2} \cdot 6^{- 3})^{- 3}

Apply exponent rule:

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

(6^{2} \cdot 6^{- 3})^{- 3} = \frac{1}{( 6 ^{2} \cdot 6 ^{- 3} ) ^{3}}

= \frac{1}{( 6 ^{2} \cdot 6 ^{- 3} ) ^{3}}

(6^{2} \cdot 6^{- 3})^{3} = \frac{1}{216}

= \frac{1}{\frac{1}{216}}

\frac{1}{\frac{1}{216}} = 216

= 216

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Frequently Asked Questions (FAQ)

What is (6^2*6^{-3})^{-3} ?
The solution to (6^2*6^{-3})^{-3} is 216