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Popular >

simplify (4^{-3})/(4^5)

Solution

simplify

\frac{4 ^{- 3}}{4 ^{5}}

Solution

\frac{1}{65536}

+1

Decimal Notation

0.00001 \dots

Solution steps

\frac{4 ^{- 3}}{4 ^{5}}

Apply exponent rule:

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

= 4^{- 3 - 5}

Subtract the numbers:

- 3 - 5 = - 8

= 4^{- 8}

Apply exponent rule:

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

= \frac{1}{4 ^{8}}

4^{8} = 65536

= \frac{1}{65536}

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Frequently Asked Questions (FAQ)

What is (4^{-3})/(4^5) ?
The solution to (4^{-3})/(4^5) is 1/65536