What is 1.66*10^{-27}*4 ?

The solution to 1.66*10^{-27}*4 is (83)/(5^{27)*1677721600}

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simplify 1.6610^{-27}4

simplify

1.66 \cdot 1 0^{- 27} \cdot 4

\frac{83}{5 ^{27} \cdot 1677721600}

Decimal

6.64 E - 27

Solution steps

1.66 \cdot 1 0^{- 27} \cdot 4

Multiply the numbers:

1.66 \cdot 4 = 6.64

= 6.64 \cdot 1 0^{- 27}

= 1 0^{- 27} \cdot 6.64

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{27}} \cdot 6.64

\frac{1}{1 0 ^{27}} \cdot 6.64 = \frac{6.64}{1 0 ^{27}}

= \frac{6.64}{1 0 ^{27}}

\frac{6.64}{1 0 ^{27}} = \frac{664}{100 \cdot 1 0 ^{27}}

= \frac{664}{100 \cdot 1 0 ^{27}}

Factor the number:

664 = 4 \cdot 166

= \frac{4 \cdot 166}{100 \cdot 1 0 ^{27}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 166}{4 \cdot 25 \cdot 1 0 ^{27}}

Cancel the common factor:

4

= \frac{166}{25 \cdot 1 0 ^{27}}

Factor the number:

166 = 2 \cdot 83

= \frac{2 \cdot 83}{25 \cdot 1 0 ^{27}}

Factor

1 0^{27} : 2^{27} \cdot 5^{27}

= \frac{2 \cdot 83}{25 \cdot 2 ^{27} \cdot 5 ^{27}}

\frac{2}{2 ^{27}} = \frac{1}{2 ^{26}}

= \frac{83}{25 \cdot 2 ^{26} \cdot 5 ^{27}}

25 \cdot 2^{26} \cdot 5^{27} = 5^{27} \cdot 1677721600

= \frac{83}{5 ^{27} \cdot 1677721600}

8.854187817 \cdot 1 0^{- 12}

(x^{2} + y^{2}) e^{- x y}

- 2 ab (5 b^{2} c^{3})

3 1.331^{2} \cdot 600

3 e^{x^{3}}

What is 1.66*10^{-27}*4 ?
The solution to 1.66*10^{-27}*4 is (83)/(5^{27)*1677721600}