What is 7.4*10^{-31} ?

The solution to 7.4*10^{-31} is (37)/(2^{31)*5^{32}}

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simplify 7.4*10^{-31}

simplify

7.4 \cdot 1 0^{- 31}

\frac{37}{2 ^{31} \cdot 5 ^{32}}

Decimal Notation

7.4 E - 31

Solution steps

7.4 \cdot 1 0^{- 31}

Apply exponent rule:

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

1 0^{- 31} = \frac{1}{1 0 ^{31}}

= 7.4 \cdot \frac{1}{1 0 ^{31}}

7.4 \cdot \frac{1}{1 0 ^{31}} = \frac{7.4}{1 0 ^{31}}

= \frac{7.4}{1 0 ^{31}}

\frac{7.4}{1 0 ^{31}} = \frac{74}{10 \cdot 1 0 ^{31}}

= \frac{74}{10 \cdot 1 0 ^{31}}

10 \cdot 1 0^{31} = 1 0^{32}

= \frac{74}{1 0 ^{32}}

Factor the number:

74 = 2 \cdot 37

= \frac{2 \cdot 37}{1 0 ^{32}}

Factor

1 0^{32} : 2^{32} \cdot 5^{32}

= \frac{2 \cdot 37}{2 ^{32} \cdot 5 ^{32}}

\frac{2}{2 ^{32}} = \frac{1}{2 ^{31}}

= \frac{37}{2 ^{31} \cdot 5 ^{32}}

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