What is 1.37*10^{-12}((0.45)/(8*10^{-6)}) ?

The solution to 1.37*10^{-12}((0.45)/(8*10^{-6)}) is 1233/16000000000

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simplify 1.3710^{-12}((0.45)/(810^{-6)})

simplify

1.37 \cdot 1 0^{- 12} (\frac{0.45}{8 \cdot 1 0 ^{- 6}})

\frac{1233}{16000000000}

Solution steps

1.37 \cdot 1 0^{- 12} (\frac{0.45}{8 \cdot 1 0 ^{- 6}})

\frac{0.45}{8 \cdot 1 0 ^{- 6}} = \frac{45}{800 \cdot 1 0 ^{- 6}}

= 1.37 \cdot 1 0^{- 12} \cdot \frac{45}{800 \cdot 1 0 ^{- 6}}

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= 1.37 \cdot \frac{1}{1 0 ^{12}} \cdot \frac{45}{800 \cdot 1 0 ^{- 6}}

Cancel

\frac{45}{800 \cdot 1 0 ^{- 6}} : 56250

= 1.37 \cdot \frac{1}{1 0 ^{12}} \cdot 56250

1.37 \cdot \frac{1}{1 0 ^{12}} \cdot 56250 = \frac{77062.5}{1 0 ^{12}}

= \frac{77062.5}{1 0 ^{12}}

\frac{77062.5}{1 0 ^{12}} = \frac{770625}{10 \cdot 1 0 ^{12}}

= \frac{770625}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{770625}{1 0 ^{13}}

Factor

770625 : 5^{4} \cdot 1233

= \frac{5 ^{4} \cdot 1233}{1 0 ^{13}}

Factor

1 0^{13} : 5^{13} \cdot 2^{13}

= \frac{5 ^{4} \cdot 1233}{5 ^{13} \cdot 2 ^{13}}

\frac{5 ^{4}}{5 ^{13}} = \frac{1}{5 ^{9}}

= \frac{1233}{5 ^{9} \cdot 2 ^{13}}

5^{9} \cdot 2^{13} = 16000000000

= \frac{1233}{16000000000}

(7.6 \cdot 1 0^{52}) (2.66 \cdot 1 0^{- 27})

(9.0133288 \cdot 1.66 \cdot 1 0^{- 27}) (3 \cdot 1 0^{8})^{2}

\frac{2}{π \cdot ( 0.5 \cdot 1 0 ^{- 3} ) ^{2}} \cdot 1.6 \cdot 1 0^{- 8}

(e^{x} \cdot (\frac{1}{x ^{2} + 1})) (x e^{x})

(4.3 \cdot 1 0^{- 3}) (14 \cdot 1 0^{- 3})

What is 1.37*10^{-12}((0.45)/(8*10^{-6)}) ?
The solution to 1.37*10^{-12}((0.45)/(8*10^{-6)}) is 1233/16000000000