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Popular >

simplify 2^{-5}*2^3

Solution

simplify

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

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

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

Apply exponent rule:

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

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

= 2^{- 5 + 3}

Add/Subtract the numbers:

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