What is 0.5*10^{-31} ?

The solution to 0.5*10^{-31} is 1/(5^{31)*2^{32}}

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simplify 0.5*10^{-31}

simplify

0.5 \cdot 1 0^{- 31}

\frac{1}{5 ^{31} \cdot 2 ^{32}}

Decimal Notation

5.0 E - 32

Solution steps

0.5 \cdot 1 0^{- 31}

Apply exponent rule:

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

1 0^{- 31} = \frac{1}{1 0 ^{31}}

= 0.5 \cdot \frac{1}{1 0 ^{31}}

0.5 \cdot \frac{1}{1 0 ^{31}} = \frac{0.5}{1 0 ^{31}}

= \frac{0.5}{1 0 ^{31}}

\frac{0.5}{1 0 ^{31}} = \frac{5}{10 \cdot 1 0 ^{31}}

= \frac{5}{10 \cdot 1 0 ^{31}}

10 \cdot 1 0^{31} = 1 0^{32}

= \frac{5}{1 0 ^{32}}

Factor

1 0^{32} : 5^{32} \cdot 2^{32}

= \frac{5}{5 ^{32} \cdot 2 ^{32}}

\frac{5}{5 ^{32}} = \frac{1}{5 ^{31}}

= \frac{1}{5 ^{31} \cdot 2 ^{32}}

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