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Popular >

simplify 6.2*10^{-30}

Solution

simplify

6.2 \cdot 1 0^{- 30}

Solution

\frac{31}{2 ^{30} \cdot 5 ^{31}}

+1

Decimal Notation

6.2 E - 30

Solution steps

6.2 \cdot 1 0^{- 30}

Apply exponent rule:

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

1 0^{- 30} = \frac{1}{1 0 ^{30}}

= 6.2 \cdot \frac{1}{1 0 ^{30}}

6.2 \cdot \frac{1}{1 0 ^{30}} = \frac{6.2}{1 0 ^{30}}

= \frac{6.2}{1 0 ^{30}}

\frac{6.2}{1 0 ^{30}} = \frac{62}{10 \cdot 1 0 ^{30}}

= \frac{62}{10 \cdot 1 0 ^{30}}

10 \cdot 1 0^{30} = 1 0^{31}

= \frac{62}{1 0 ^{31}}

Factor the number:

62 = 2 \cdot 31

= \frac{2 \cdot 31}{1 0 ^{31}}

Factor

1 0^{31} : 2^{31} \cdot 5^{31}

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

\frac{2}{2 ^{31}} = \frac{1}{2 ^{30}}

= \frac{31}{2 ^{30} \cdot 5 ^{31}}

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Frequently Asked Questions (FAQ)

What is 6.2*10^{-30} ?
The solution to 6.2*10^{-30} is (31)/(2^{30)*5^{31}}