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Popular >

simplify 3.2*10^{-11}

Solution

simplify

3.2 \cdot 1 0^{- 11}

Solution

\frac{1}{31250000000}

+1

Decimal Notation

3.2 E - 11

Solution steps

3.2 \cdot 1 0^{- 11}

Apply exponent rule:

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

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

= 3.2 \cdot \frac{1}{1 0 ^{11}}

3.2 \cdot \frac{1}{1 0 ^{11}} = \frac{3.2}{1 0 ^{11}}

= \frac{3.2}{1 0 ^{11}}

\frac{3.2}{1 0 ^{11}} = \frac{32}{10 \cdot 1 0 ^{11}}

= \frac{32}{10 \cdot 1 0 ^{11}}

10 \cdot 1 0^{11} = 1 0^{12}

= \frac{32}{1 0 ^{12}}

Factor the number:

32 = 2^{5}

= \frac{2 ^{5}}{1 0 ^{12}}

Factor

1 0^{12} : 2^{12} \cdot 5^{12}

= \frac{2 ^{5}}{2 ^{12} \cdot 5 ^{12}}

\frac{2 ^{5}}{2 ^{12}} = \frac{1}{2 ^{7}}

= \frac{1}{2 ^{7} \cdot 5 ^{12}}

2^{7} \cdot 5^{12} = 31250000000

= \frac{1}{31250000000}

Popular Examples

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0.5 \cdot 1.3 \cdot 1 0^{- 3}

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4.47 \cdot 1 0^{- 3}

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8 x^{8} y^{8}

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(x - 7)^{2} (x + 14)^{2}

simplify (1.6x10^{-19})(0.125x10^{-9})simplify

(1.6 x 1 0^{- 19}) (0.125 x 1 0^{- 9})

Frequently Asked Questions (FAQ)

What is 3.2*10^{-11} ?
The solution to 3.2*10^{-11} is 1/31250000000