What is (4.2*10^{-45})*(1.5*10^{-46}) ?

The solution to (4.2*10^{-45})*(1.5*10^{-46}) is (63)/(5^{92)*2^{92}}

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simplify (4.210^{-45})(1.5*10^{-46})

simplify

(4.2 \cdot 1 0^{- 45}) \cdot (1.5 \cdot 1 0^{- 46})

\frac{63}{5 ^{92} \cdot 2 ^{92}}

Decimal Notation

6.3 E - 91

Solution steps

(4.2 \cdot 1 0^{- 45}) (1.5 \cdot 1 0^{- 46})

Simplify

4.2 \cdot 1 0^{- 45} : \frac{21}{2 ^{45} \cdot 5 ^{46}}

= \frac{21}{2 ^{45} \cdot 5 ^{46}} \cdot 1.5 \cdot 1 0^{- 46}

Apply exponent rule:

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

1 0^{- 46} = \frac{1}{1 0 ^{46}}

= \frac{21}{2 ^{45} \cdot 5 ^{46}} \cdot 1.5 \cdot \frac{1}{1 0 ^{46}}

\frac{21}{2 ^{45} \cdot 5 ^{46}} \cdot 1.5 \cdot \frac{1}{1 0 ^{46}} = \frac{31.5}{2 ^{45} \cdot 5 ^{46} \cdot 1 0 ^{46}}

= \frac{31.5}{2 ^{45} \cdot 5 ^{46} \cdot 1 0 ^{46}}

\frac{31.5}{2 ^{45} \cdot 5 ^{46} \cdot 1 0 ^{46}} = \frac{315}{10 \cdot 2 ^{45} \cdot 5 ^{46} \cdot 1 0 ^{46}}

= \frac{315}{10 \cdot 2 ^{45} \cdot 5 ^{46} \cdot 1 0 ^{46}}

10 \cdot 1 0^{46} = 1 0^{47}

= \frac{315}{1 0 ^{47} \cdot 2 ^{45} \cdot 5 ^{46}}

Factor the number:

315 = 5 \cdot 63

= \frac{5 \cdot 63}{1 0 ^{47} \cdot 2 ^{45} \cdot 5 ^{46}}

Factor

1 0^{47} : 5^{47} \cdot 2^{47}

= \frac{5 \cdot 63}{5 ^{47} \cdot 2 ^{47} \cdot 2 ^{45} \cdot 5 ^{46}}

\frac{5}{5 ^{47}} = \frac{1}{5 ^{46}}

= \frac{63}{5 ^{46} \cdot 2 ^{47} \cdot 2 ^{45} \cdot 5 ^{46}}

5^{46} \cdot 2^{47} \cdot 2^{45} \cdot 5^{46} = 5^{92} \cdot 2^{92}

= \frac{63}{5 ^{92} \cdot 2 ^{92}}

(3, 2) y (0, 1)

e^{- x^{2}} (\frac{3}{2} e^{2 x^{2}})

1.007 \cdot 1 0^{- 12}

900 e^{(- 2.4849 \cdot 4)}

What is (4.2*10^{-45})*(1.5*10^{-46}) ?
The solution to (4.2*10^{-45})*(1.5*10^{-46}) is (63)/(5^{92)*2^{92}}