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Popular >

simplify 2^3*2^{-5}

Solution

simplify

2^{3} \cdot 2^{- 5}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

2^{3} \cdot 2^{- 5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{3} \cdot 2^{- 5} = 2^{3 - 5}

= 2^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= 2^{- 2}

Apply exponent rule:

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

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

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

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is 2^3*2^{-5} ?
The solution to 2^3*2^{-5} is 1/4