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Popular >

simplify 681.2*10^{-12}

Solution

simplify

681.2 \cdot 1 0^{- 12}

Solution

\frac{1703}{5 ^{13} \cdot 2048}

+1

Decimal Notation

6.812 E - 10

Solution steps

681.2 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 681.2 \cdot \frac{1}{1 0 ^{12}}

681.2 \cdot \frac{1}{1 0 ^{12}} = \frac{681.2}{1 0 ^{12}}

= \frac{681.2}{1 0 ^{12}}

\frac{681.2}{1 0 ^{12}} = \frac{6812}{10 \cdot 1 0 ^{12}}

= \frac{6812}{10 \cdot 1 0 ^{12}}

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

= \frac{6812}{1 0 ^{13}}

Factor

6812 : 2^{2} \cdot 1703

= \frac{2 ^{2} \cdot 1703}{1 0 ^{13}}

Factor

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

= \frac{2 ^{2} \cdot 1703}{2 ^{13} \cdot 5 ^{13}}

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

= \frac{1703}{2 ^{11} \cdot 5 ^{13}}

2^{11} = 2048

= \frac{1703}{5 ^{13} \cdot 2048}

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Frequently Asked Questions (FAQ)

What is 681.2*10^{-12} ?
The solution to 681.2*10^{-12} is (1703)/(5^{13)*2048}