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Popular >

simplify 2^5*2^{-7}

Solution

simplify

2^{5} \cdot 2^{- 7}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

2^{5} \cdot 2^{- 7}

Apply exponent rule:

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

2^{5} \cdot 2^{- 7} = 2^{5 - 7}

= 2^{5 - 7}

Subtract the numbers:

5 - 7 = - 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^{-7} ?
The solution to 2^5*2^{-7} is 1/4