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Popular >

simplify 0.1111*2^{-2}

Solution

simplify

0.1111 \cdot 2^{- 2}

Solution

\frac{1111}{40000}

+1

Decimal Notation

0.027775

Solution steps

0.1111 \cdot 2^{- 2}

Apply exponent rule:

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

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

= 0.1111 \cdot \frac{1}{2 ^{2}}

2^{2} = 4

= 0.1111 \cdot \frac{1}{4}

0.1111 = \frac{1111}{10000}

= \frac{1111}{10000} \cdot \frac{1}{4}

\frac{1111}{10000} \cdot \frac{1}{4} = \frac{1111}{40000}

= \frac{1111}{40000}

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Frequently Asked Questions (FAQ)

What is 0.1111*2^{-2} ?
The solution to 0.1111*2^{-2} is 1111/40000