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Popular >

simplify 2*2^{-4}

Solution

simplify

2 \cdot 2^{- 4}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

2 \cdot 2^{- 4}

Apply exponent rule:

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

2 \cdot 2^{- 4} = 2^{1 - 4}

= 2^{1 - 4}

Subtract the numbers:

1 - 4 = - 3

= 2^{- 3}

Apply exponent rule:

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

2^{- 3} = \frac{1}{2 ^{3}}

= \frac{1}{2 ^{3}}

2^{3} = 8

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is 2*2^{-4} ?
The solution to 2*2^{-4} is 1/8