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Popular >

simplify 1.4*10^{-10}

Solution

simplify

1.4 \cdot 1 0^{- 10}

Solution

\frac{7}{50000000000}

+1

Decimal Notation

1.4 E - 10

Solution steps

1.4 \cdot 1 0^{- 10}

Apply exponent rule:

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

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

= 1.4 \cdot \frac{1}{1 0 ^{10}}

1.4 \cdot \frac{1}{1 0 ^{10}} = \frac{1.4}{1 0 ^{10}}

= \frac{1.4}{1 0 ^{10}}

\frac{1.4}{1 0 ^{10}} = \frac{14}{10 \cdot 1 0 ^{10}}

= \frac{14}{10 \cdot 1 0 ^{10}}

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

= \frac{14}{1 0 ^{11}}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 7}{1 0 ^{11}}

Factor

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

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

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

= \frac{7}{2 ^{10} \cdot 5 ^{11}}

2^{10} \cdot 5^{11} = 50000000000

= \frac{7}{50000000000}

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Frequently Asked Questions (FAQ)

What is 1.4*10^{-10} ?
The solution to 1.4*10^{-10} is 7/50000000000