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Popular >

simplify 1.0625*2^{-3}

Solution

simplify

1.0625 \cdot 2^{- 3}

Solution

\frac{17}{128}

+1

Decimal Notation

0.1328125

Solution steps

1.0625 \cdot 2^{- 3}

Apply exponent rule:

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

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

= 1.0625 \cdot \frac{1}{2 ^{3}}

2^{3} = 8

= 1.0625 \cdot \frac{1}{8}

1.0625 = \frac{17}{16}

= \frac{17}{16} \cdot \frac{1}{8}

\frac{17}{16} \cdot \frac{1}{8} = \frac{17}{128}

= \frac{17}{128}

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Frequently Asked Questions (FAQ)

What is 1.0625*2^{-3} ?
The solution to 1.0625*2^{-3} is 17/128