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Popular >

simplify (8^{-5})/(8^{-2)}

Solution

simplify

\frac{8 ^{- 5}}{8 ^{- 2}}

Solution

\frac{1}{512}

+1

Decimal Notation

0.001953125

Solution steps

\frac{8 ^{- 5}}{8 ^{- 2}}

Apply exponent rule:

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

= 8^{- 5 - (- 2)}

Apply rule

- (- a) = a

= 8^{- 5 + 2}

Add/Subtract the numbers:

- 5 + 2 = - 3

= 8^{- 3}

Apply exponent rule:

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

= \frac{1}{8 ^{3}}

8^{3} = 512

= \frac{1}{512}

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Frequently Asked Questions (FAQ)

What is (8^{-5})/(8^{-2)} ?
The solution to (8^{-5})/(8^{-2)} is 1/512