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Popular >

simplify 0.4*10^{-12}

Solution

simplify

0.4 \cdot 1 0^{- 12}

Solution

\frac{1}{5 ^{13} \cdot 2048}

+1

Decimal Notation

4.0 E - 13

Solution steps

0.4 \cdot 1 0^{- 12}

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= 0.4 \cdot \frac{1}{1 0 ^{12}}

0.4 \cdot \frac{1}{1 0 ^{12}} = \frac{0.4}{1 0 ^{12}}

= \frac{0.4}{1 0 ^{12}}

\frac{0.4}{1 0 ^{12}} = \frac{4}{10 \cdot 1 0 ^{12}}

= \frac{4}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{4}{1 0 ^{13}}

Factor the number:

4 = 2^{2}

= \frac{2 ^{2}}{1 0 ^{13}}

Factor

1 0^{13} : 2^{13} \cdot 5^{13}

= \frac{2 ^{2}}{2 ^{13} \cdot 5 ^{13}}

\frac{2 ^{2}}{2 ^{13}} = \frac{1}{2 ^{11}}

= \frac{1}{2 ^{11} \cdot 5 ^{13}}

2^{11} = 2048

= \frac{1}{5 ^{13} \cdot 2048}

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Frequently Asked Questions (FAQ)

What is 0.4*10^{-12} ?
The solution to 0.4*10^{-12} is 1/(5^{13)*2048}