What is 1.66*10^{-27}*0.032 ?

The solution to 1.66*10^{-27}*0.032 is (83)/(5^{27)*209715200000}

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simplify 1.6610^{-27}0.032

simplify

1.66 \cdot 1 0^{- 27} \cdot 0.032

\frac{83}{5 ^{27} \cdot 209715200000}

Decimal Notation

5.312 E - 29

Solution steps

1.66 \cdot 1 0^{- 27} \cdot 0.032

Multiply the numbers:

1.66 \cdot 0.032 = 0.05312

= 0.05312 \cdot 1 0^{- 27}

= 1 0^{- 27} \cdot 0.05312

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{27}} \cdot 0.05312

\frac{1}{1 0 ^{27}} \cdot 0.05312 = \frac{0.05312}{1 0 ^{27}}

= \frac{0.05312}{1 0 ^{27}}

\frac{0.05312}{1 0 ^{27}} = \frac{5312}{100000 \cdot 1 0 ^{27}}

= \frac{5312}{100000 \cdot 1 0 ^{27}}

Factor the number:

5312 = 32 \cdot 166

= \frac{32 \cdot 166}{100000 \cdot 1 0 ^{27}}

Factor the number:

100000 = 32 \cdot 3125

= \frac{32 \cdot 166}{32 \cdot 3125 \cdot 1 0 ^{27}}

Cancel the common factor:

32

= \frac{166}{3125 \cdot 1 0 ^{27}}

Factor the number:

166 = 2 \cdot 83

= \frac{2 \cdot 83}{3125 \cdot 1 0 ^{27}}

Factor

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

= \frac{2 \cdot 83}{3125 \cdot 2 ^{27} \cdot 5 ^{27}}

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

= \frac{83}{3125 \cdot 2 ^{26} \cdot 5 ^{27}}

3125 \cdot 2^{26} \cdot 5^{27} = 5^{27} \cdot 209715200000

= \frac{83}{5 ^{27} \cdot 209715200000}

5.45 \cdot 1 0^{- 3}

e^{- y (1 + x)}

(\frac{2}{3} x^{4}) (12 x)

5 \cdot 1 0^{- 3} \cdot 0.5 O

3 X^{2} Y^{2}

What is 1.66*10^{-27}*0.032 ?
The solution to 1.66*10^{-27}*0.032 is (83)/(5^{27)*209715200000}