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Popular >

simplify 0.4*2^{-48}

Solution

simplify

0.4 \cdot 2^{- 48}

Solution

\frac{1}{5 \cdot 2 ^{47}}

+1

Solution steps

0.4 \cdot 2^{- 48}

Apply exponent rule:

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

2^{- 48} = \frac{1}{2 ^{48}}

= 0.4 \cdot \frac{1}{2 ^{48}}

0.4 \cdot \frac{1}{2 ^{48}} = \frac{0.4}{2 ^{48}}

= \frac{0.4}{2 ^{48}}

\frac{0.4}{2 ^{48}} = \frac{4}{10 \cdot 2 ^{48}}

= \frac{4}{10 \cdot 2 ^{48}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2}{10 \cdot 2 ^{48}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 2}{2 \cdot 5 \cdot 2 ^{48}}

Cancel the common factor:

2

= \frac{2}{5 \cdot 2 ^{48}}

\frac{2}{2 ^{48}} = \frac{1}{2 ^{47}}

= \frac{1}{5 \cdot 2 ^{47}}

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Frequently Asked Questions (FAQ)

What is 0.4*2^{-48} ?
The solution to 0.4*2^{-48} is 1/(5*2^{47)}