What is 6.02*10^{-23} ?

The solution to 6.02*10^{-23} is (301)/(50*10^{23)}

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simplify 6.02*10^{-23}

simplify

6.02 \cdot 1 0^{- 23}

\frac{301}{50 \cdot 1 0 ^{23}}

Decimal Notation

6.02 E - 23

Solution steps

6.02 \cdot 1 0^{- 23}

Apply exponent rule:

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

1 0^{- 23} = \frac{1}{1 0 ^{23}}

= 6.02 \cdot \frac{1}{1 0 ^{23}}

6.02 \cdot \frac{1}{1 0 ^{23}} = \frac{6.02}{1 0 ^{23}}

= \frac{6.02}{1 0 ^{23}}

\frac{6.02}{1 0 ^{23}} = \frac{602}{100 \cdot 1 0 ^{23}}

= \frac{602}{100 \cdot 1 0 ^{23}}

Factor the number:

602 = 2 \cdot 301

= \frac{2 \cdot 301}{100 \cdot 1 0 ^{23}}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 301}{2 \cdot 50 \cdot 1 0 ^{23}}

Cancel the common factor:

2

= \frac{301}{50 \cdot 1 0 ^{23}}

e^{8} \cdot e^{- 6}

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\frac{x ^{7}}{y ^{7}}

39

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