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Popular >

simplify 8.32*10^{-11}

Solution

simplify

8.32 \cdot 1 0^{- 11}

Solution

\frac{13}{156250000000}

+1

Decimal Notation

8.32 E - 11

Solution steps

8.32 \cdot 1 0^{- 11}

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= 8.32 \cdot \frac{1}{1 0 ^{11}}

8.32 \cdot \frac{1}{1 0 ^{11}} = \frac{8.32}{1 0 ^{11}}

= \frac{8.32}{1 0 ^{11}}

\frac{8.32}{1 0 ^{11}} = \frac{832}{100 \cdot 1 0 ^{11}}

= \frac{832}{100 \cdot 1 0 ^{11}}

Factor the number:

832 = 4 \cdot 208

= \frac{4 \cdot 208}{100 \cdot 1 0 ^{11}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 208}{4 \cdot 25 \cdot 1 0 ^{11}}

Cancel the common factor:

4

= \frac{208}{25 \cdot 1 0 ^{11}}

Factor

208 : 2^{4} \cdot 13

= \frac{2 ^{4} \cdot 13}{25 \cdot 1 0 ^{11}}

Factor

1 0^{11} : 2^{11} \cdot 5^{11}

= \frac{2 ^{4} \cdot 13}{25 \cdot 2 ^{11} \cdot 5 ^{11}}

\frac{2 ^{4}}{2 ^{11}} = \frac{1}{2 ^{7}}

= \frac{13}{25 \cdot 2 ^{7} \cdot 5 ^{11}}

25 \cdot 2^{7} \cdot 5^{11} = 156250000000

= \frac{13}{156250000000}

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Frequently Asked Questions (FAQ)

What is 8.32*10^{-11} ?
The solution to 8.32*10^{-11} is 13/156250000000