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Popular >

simplify (2^{-8})/(2^4)

Solution

simplify

\frac{2 ^{- 8}}{2 ^{4}}

Solution

\frac{1}{4096}

+1

Solution steps

\frac{2 ^{- 8}}{2 ^{4}}

Apply exponent rule:

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

= 2^{- 8 - 4}

Subtract the numbers:

- 8 - 4 = - 12

= 2^{- 12}

Apply exponent rule:

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

= \frac{1}{2 ^{12}}

2^{12} = 4096

= \frac{1}{4096}

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Frequently Asked Questions (FAQ)

What is (2^{-8})/(2^4) ?
The solution to (2^{-8})/(2^4) is 1/4096