What is 1.66*10^{-27} ?

The solution to 1.66*10^{-27} is (83)/(50*10^{27)}

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simplify 1.66*10^{-27}

simplify

1.66 \cdot 1 0^{- 27}

\frac{83}{50 \cdot 1 0 ^{27}}

Decimal Notation

1.66 E - 27

Solution steps

1.66 \cdot 1 0^{- 27}

Apply exponent rule:

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

1 0^{- 27} = \frac{1}{1 0 ^{27}}

= 1.66 \cdot \frac{1}{1 0 ^{27}}

1.66 \cdot \frac{1}{1 0 ^{27}} = \frac{1.66}{1 0 ^{27}}

= \frac{1.66}{1 0 ^{27}}

\frac{1.66}{1 0 ^{27}} = \frac{166}{100 \cdot 1 0 ^{27}}

= \frac{166}{100 \cdot 1 0 ^{27}}

Factor the number:

166 = 2 \cdot 83

= \frac{2 \cdot 83}{100 \cdot 1 0 ^{27}}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 83}{2 \cdot 50 \cdot 1 0 ^{27}}

Cancel the common factor:

2

= \frac{83}{50 \cdot 1 0 ^{27}}

1.2466 e^{- 3.1416}

e^{- 2 x} \cdot \frac{e ^{2 x}}{x}

- 3.3 \cdot 1 0^{- 2}

e^{- 4 (0.75)}

2466039 \cdot 8 0^{- 2.644}