What is 10^{-17}*0.5 ?

The solution to 10^{-17}*0.5 is 1/(5^{17)*262144}

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simplify 10^{-17}*0.5

simplify

1 0^{- 17} \cdot 0.5

\frac{1}{5 ^{17} \cdot 262144}

Decimal Notation

5.0 E - 18

Solution steps

1 0^{- 17} \cdot 0.5

Apply exponent rule:

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

1 0^{- 17} = \frac{1}{1 0 ^{17}}

= \frac{1}{1 0 ^{17}} \cdot 0.5

\frac{1}{1 0 ^{17}} \cdot 0.5 = \frac{0.5}{1 0 ^{17}}

= \frac{0.5}{1 0 ^{17}}

\frac{0.5}{1 0 ^{17}} = \frac{5}{10 \cdot 1 0 ^{17}}

= \frac{5}{10 \cdot 1 0 ^{17}}

10 \cdot 1 0^{17} = 1 0^{18}

= \frac{5}{1 0 ^{18}}

Factor

1 0^{18} : 5^{18} \cdot 2^{18}

= \frac{5}{5 ^{18} \cdot 2 ^{18}}

\frac{5}{5 ^{18}} = \frac{1}{5 ^{17}}

= \frac{1}{5 ^{17} \cdot 2 ^{18}}

2^{18} = 262144

= \frac{1}{5 ^{17} \cdot 262144}

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