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Popular >

simplify (6^{-6})/(6^{-5)}

Solution

simplify

\frac{6 ^{- 6}}{6 ^{- 5}}

Solution

\frac{1}{6}

+1

Decimal Notation

0.16666 \dots

Solution steps

\frac{6 ^{- 6}}{6 ^{- 5}}

Apply exponent rule:

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

= 6^{- 6 - (- 5)}

Apply rule

- (- a) = a

= 6^{- 6 + 5}

Add/Subtract the numbers:

- 6 + 5 = - 1

= 6^{- 1}

Apply exponent rule:

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

= \frac{1}{6}

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Frequently Asked Questions (FAQ)

What is (6^{-6})/(6^{-5)} ?
The solution to (6^{-6})/(6^{-5)} is 1/6