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Popular >

simplify 1.4*10^{-20}

Solution

simplify

1.4 \cdot 1 0^{- 20}

Solution

\frac{7}{5 ^{21} \cdot 1048576}

+1

Decimal Notation

1.4 E - 20

Solution steps

1.4 \cdot 1 0^{- 20}

Apply exponent rule:

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

1 0^{- 20} = \frac{1}{1 0 ^{20}}

= 1.4 \cdot \frac{1}{1 0 ^{20}}

1.4 \cdot \frac{1}{1 0 ^{20}} = \frac{1.4}{1 0 ^{20}}

= \frac{1.4}{1 0 ^{20}}

\frac{1.4}{1 0 ^{20}} = \frac{14}{10 \cdot 1 0 ^{20}}

= \frac{14}{10 \cdot 1 0 ^{20}}

10 \cdot 1 0^{20} = 1 0^{21}

= \frac{14}{1 0 ^{21}}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 7}{1 0 ^{21}}

Factor

1 0^{21} : 2^{21} \cdot 5^{21}

= \frac{2 \cdot 7}{2 ^{21} \cdot 5 ^{21}}

\frac{2}{2 ^{21}} = \frac{1}{2 ^{20}}

= \frac{7}{2 ^{20} \cdot 5 ^{21}}

2^{20} = 1048576

= \frac{7}{5 ^{21} \cdot 1048576}

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Frequently Asked Questions (FAQ)

What is 1.4*10^{-20} ?
The solution to 1.4*10^{-20} is 7/(5^{21)*1048576}