What is 1.66*10^{-24} ?

The solution to 1.66*10^{-24} is (83)/(50*10^{24)}

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simplify 1.66*10^{-24}

simplify

1.66 \cdot 1 0^{- 24}

\frac{83}{50 \cdot 1 0 ^{24}}

Decimal Notation

1.66 E - 24

Solution steps

1.66 \cdot 1 0^{- 24}

Apply exponent rule:

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

1 0^{- 24} = \frac{1}{1 0 ^{24}}

= 1.66 \cdot \frac{1}{1 0 ^{24}}

1.66 \cdot \frac{1}{1 0 ^{24}} = \frac{1.66}{1 0 ^{24}}

= \frac{1.66}{1 0 ^{24}}

\frac{1.66}{1 0 ^{24}} = \frac{166}{100 \cdot 1 0 ^{24}}

= \frac{166}{100 \cdot 1 0 ^{24}}

Factor the number:

166 = 2 \cdot 83

= \frac{2 \cdot 83}{100 \cdot 1 0 ^{24}}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 83}{2 \cdot 50 \cdot 1 0 ^{24}}

Cancel the common factor:

2

= \frac{83}{50 \cdot 1 0 ^{24}}

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