What is 4.03704*(10^{-19})/(1.05457)*10^{-34} ?

The solution to 4.03704*(10^{-19})/(1.05457)*10^{-34} is (50463)/(105457*2^{50)*5^{53}}

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simplify 4.03704(10^{-19})/(1.05457)10^{-34}

simplify

4.03704 \cdot \frac{1 0 ^{- 19}}{1.05457} \cdot 1 0^{- 34}

\frac{50463}{105457 \cdot 2 ^{50} \cdot 5 ^{53}}

Decimal Notation

3.82814 E - 53

Solution steps

4.03704 \cdot \frac{1 0 ^{- 19}}{1.05457} \cdot 1 0^{- 34}

Apply exponent rule:

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

1 0^{- 34} = \frac{1}{1 0 ^{34}}

= 4.03704 \cdot \frac{1 0 ^{- 19}}{1.05457} \cdot \frac{1}{1 0 ^{34}}

\frac{1 0 ^{- 19}}{1.05457} = \frac{1}{1 0 ^{19} \cdot 1.05457}

= 4.03704 \cdot \frac{1}{1 0 ^{19} \cdot 1.05457} \cdot \frac{1}{1 0 ^{34}}

4.03704 \cdot \frac{1}{1 0 ^{19} \cdot 1.05457} \cdot \frac{1}{1 0 ^{34}} = \frac{4.03704}{1 0 ^{53} \cdot 1.05457}

= \frac{4.03704}{1 0 ^{53} \cdot 1.05457}

\frac{4.03704}{1 0 ^{53} \cdot 1.05457} = \frac{403704}{105457 \cdot 1 0 ^{53}}

= \frac{403704}{105457 \cdot 1 0 ^{53}}

Factor

403704 : 2^{3} \cdot 50463

= \frac{2 ^{3} \cdot 50463}{105457 \cdot 1 0 ^{53}}

Factor

1 0^{53} : 2^{53} \cdot 5^{53}

= \frac{2 ^{3} \cdot 50463}{105457 \cdot 2 ^{53} \cdot 5 ^{53}}

\frac{2 ^{3}}{2 ^{53}} = \frac{1}{2 ^{50}}

= \frac{50463}{105457 \cdot 2 ^{50} \cdot 5 ^{53}}

0.8 \cdot 1 0^{- 7}

0.8 \cdot 1 0^{- 3}

(0.05268 + 9.81) \cdot 470 \cdot 1 0^{- 3}

(2 + 2)^{2}

\frac{414 3 ^{4}}{29 8 ^{4}}

What is 4.03704*(10^{-19})/(1.05457)*10^{-34} ?
The solution to 4.03704*(10^{-19})/(1.05457)*10^{-34} is (50463)/(105457*2^{50)*5^{53}}