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Popular >

simplify 2^{-3}*2^{-4}

Solution

simplify

2^{- 3} \cdot 2^{- 4}

Solution

\frac{1}{128}

+1

Decimal Notation

0.0078125

Solution steps

2^{- 3} \cdot 2^{- 4}

Apply exponent rule:

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

2^{- 3} \cdot 2^{- 4} = 2^{- 3 - 4}

= 2^{- 3 - 4}

Subtract the numbers:

- 3 - 4 = - 7

= 2^{- 7}

Apply exponent rule:

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

2^{- 7} = \frac{1}{2 ^{7}}

= \frac{1}{2 ^{7}}

2^{7} = 128

= \frac{1}{128}

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Frequently Asked Questions (FAQ)

What is 2^{-3}*2^{-4} ?
The solution to 2^{-3}*2^{-4} is 1/128