What is 1.4*10^{-14} ?

The solution to 1.4*10^{-14} is 7/(5^{15)*16384}

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simplify 1.4*10^{-14}

simplify

1.4 \cdot 1 0^{- 14}

\frac{7}{5 ^{15} \cdot 16384}

Decimal Notation

1.4 E - 14

Solution steps

1.4 \cdot 1 0^{- 14}

Apply exponent rule:

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

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

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

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

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

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

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

10 \cdot 1 0^{14} = 1 0^{15}

= \frac{14}{1 0 ^{15}}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 7}{1 0 ^{15}}

Factor

1 0^{15} : 2^{15} \cdot 5^{15}

= \frac{2 \cdot 7}{2 ^{15} \cdot 5 ^{15}}

\frac{2}{2 ^{15}} = \frac{1}{2 ^{14}}

= \frac{7}{2 ^{14} \cdot 5 ^{15}}

2^{14} = 16384

= \frac{7}{5 ^{15} \cdot 16384}

- (2.33 \cdot 1 0^{- 8}) \frac{- 4 - 4}{5.33 \cdot 1 0 ^{- 3}}

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