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Popular >

simplify 1.4*10^{-18}

Solution

simplify

1.4 \cdot 1 0^{- 18}

Solution

\frac{7}{5 ^{19} \cdot 262144}

+1

Decimal Notation

1.4 E - 18

Solution steps

1.4 \cdot 1 0^{- 18}

Apply exponent rule:

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

1 0^{- 18} = \frac{1}{1 0 ^{18}}

= 1.4 \cdot \frac{1}{1 0 ^{18}}

1.4 \cdot \frac{1}{1 0 ^{18}} = \frac{1.4}{1 0 ^{18}}

= \frac{1.4}{1 0 ^{18}}

\frac{1.4}{1 0 ^{18}} = \frac{14}{10 \cdot 1 0 ^{18}}

= \frac{14}{10 \cdot 1 0 ^{18}}

10 \cdot 1 0^{18} = 1 0^{19}

= \frac{14}{1 0 ^{19}}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 7}{1 0 ^{19}}

Factor

1 0^{19} : 2^{19} \cdot 5^{19}

= \frac{2 \cdot 7}{2 ^{19} \cdot 5 ^{19}}

\frac{2}{2 ^{19}} = \frac{1}{2 ^{18}}

= \frac{7}{2 ^{18} \cdot 5 ^{19}}

2^{18} = 262144

= \frac{7}{5 ^{19} \cdot 262144}

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Frequently Asked Questions (FAQ)

What is 1.4*10^{-18} ?
The solution to 1.4*10^{-18} is 7/(5^{19)*262144}