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Popular >

simplify 3.2*10^{-10}

Solution

simplify

3.2 \cdot 1 0^{- 10}

Solution

\frac{1}{3125000000}

+1

Decimal Notation

3.2 E - 10

Solution steps

3.2 \cdot 1 0^{- 10}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

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

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

= \frac{3.2}{1 0 ^{10}}

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

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

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

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

Factor the number:

32 = 2^{5}

= \frac{2 ^{5}}{1 0 ^{11}}

Factor

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

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

\frac{2 ^{5}}{2 ^{11}} = \frac{1}{2 ^{6}}

= \frac{1}{2 ^{6} \cdot 5 ^{11}}

2^{6} \cdot 5^{11} = 3125000000

= \frac{1}{3125000000}

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Frequently Asked Questions (FAQ)

What is 3.2*10^{-10} ?
The solution to 3.2*10^{-10} is 1/3125000000