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Popular >

simplify (3^{-8})/(3^{-4)}

Solution

simplify

\frac{3 ^{- 8}}{3 ^{- 4}}

Solution

\frac{1}{81}

+1

Solution steps

\frac{3 ^{- 8}}{3 ^{- 4}}

Apply exponent rule:

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

= 3^{- 8 - (- 4)}

Apply rule

- (- a) = a

= 3^{- 8 + 4}

Add/Subtract the numbers:

- 8 + 4 = - 4

= 3^{- 4}

Apply exponent rule:

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

= \frac{1}{3 ^{4}}

3^{4} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is (3^{-8})/(3^{-4)} ?
The solution to (3^{-8})/(3^{-4)} is 1/81