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Popular >

simplify 0.1*2^{-4}

Solution

simplify

0.1 \cdot 2^{- 4}

Solution

\frac{1}{160}

+1

Decimal Notation

0.00625

Solution steps

0.1 \cdot 2^{- 4}

Apply exponent rule:

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

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

= 0.1 \cdot \frac{1}{2 ^{4}}

2^{4} = 16

= 0.1 \cdot \frac{1}{16}

0.1 = \frac{1}{10}

= \frac{1}{10} \cdot \frac{1}{16}

\frac{1}{10} \cdot \frac{1}{16} = \frac{1}{160}

= \frac{1}{160}

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Frequently Asked Questions (FAQ)

What is 0.1*2^{-4} ?
The solution to 0.1*2^{-4} is 1/160