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Popular >

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

Solution

simplify

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

Solution

\frac{1}{128}

+1

Decimal Notation

0.0078125

Solution steps

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

Apply exponent rule:

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

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

= 2^{- 4 - 3}

Subtract the numbers:

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