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Popular >

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

Solution

simplify

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

Solution

\frac{1}{216}

+1

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= 6^{- 4 + 1}

Add/Subtract the numbers:

- 4 + 1 = - 3

= 6^{- 3}

Apply exponent rule:

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

= \frac{1}{6 ^{3}}

6^{3} = 216

= \frac{1}{216}

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Frequently Asked Questions (FAQ)

What is (6^{-4})/(6^{-1)} ?
The solution to (6^{-4})/(6^{-1)} is 1/216