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Popular >

simplify (2^{-5})/(2^{-1)}

Solution

simplify

\frac{2 ^{- 5}}{2 ^{- 1}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

\frac{2 ^{- 5}}{2 ^{- 1}}

Apply exponent rule:

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

= 2^{- 5 - (- 1)}

Apply rule

- (- a) = a

= 2^{- 5 + 1}

Add/Subtract the numbers:

- 5 + 1 = - 4

= 2^{- 4}

Apply exponent rule:

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

= \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (2^{-5})/(2^{-1)} ?
The solution to (2^{-5})/(2^{-1)} is 1/16