What is 0.88*10^{-11} ?

The solution to 0.88*10^{-11} is 11/1250000000000

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simplify 0.88*10^{-11}

simplify

0.88 \cdot 1 0^{- 11}

\frac{11}{1250000000000}

Decimal Notation

8.8 E - 12

Solution steps

0.88 \cdot 1 0^{- 11}

Apply exponent rule:

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

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

= 0.88 \cdot \frac{1}{1 0 ^{11}}

0.88 \cdot \frac{1}{1 0 ^{11}} = \frac{0.88}{1 0 ^{11}}

= \frac{0.88}{1 0 ^{11}}

\frac{0.88}{1 0 ^{11}} = \frac{88}{100 \cdot 1 0 ^{11}}

= \frac{88}{100 \cdot 1 0 ^{11}}

Factor the number:

88 = 4 \cdot 22

= \frac{4 \cdot 22}{100 \cdot 1 0 ^{11}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 22}{4 \cdot 25 \cdot 1 0 ^{11}}

Cancel the common factor:

4

= \frac{22}{25 \cdot 1 0 ^{11}}

Factor the number:

22 = 2 \cdot 11

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

Factor

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

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

\frac{2}{2 ^{11}} = \frac{1}{2 ^{10}}

= \frac{11}{25 \cdot 2 ^{10} \cdot 5 ^{11}}

25 \cdot 2^{10} \cdot 5^{11} = 1250000000000

= \frac{11}{1250000000000}

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