What is ((1.6*10^{-19})^2)/((5*10^{-11))^2} ?

The solution to ((1.6*10^{-19})^2)/((5*10^{-11))^2} is 1/(2^{32)*5^{38}*1/(4194304*5^{18)}}

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simplify ((1.610^{-19})^2)/((510^{-11))^2}

simplify

\frac{( 1.6 \cdot 1 0 ^{- 19} ) ^{2}}{( 5 \cdot 1 0 ^{- 11} ) ^{2}}

\frac{1}{2 ^{32} \cdot 5 ^{38} \cdot \frac{1}{4194304 \cdot 5 ^{18}}}

Decimal Notation

1.024 E - 17

Solution steps

\frac{( 1.6 \cdot 1 0 ^{- 19} ) ^{2}}{( 5 \cdot 1 0 ^{- 11} ) ^{2}}

(1.6 \cdot 1 0^{- 19})^{2} = \frac{1}{25 \cdot 2 ^{32} \cdot 5 ^{38}}

= \frac{\frac{1}{25 \cdot 2 ^{32} \cdot 5 ^{38}}}{( 5 \cdot 1 0 ^{- 11} ) ^{2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{25 \cdot 2 ^{32} \cdot 5 ^{38} ( 5 \cdot 1 0 ^{- 11} ) ^{2}}

Simplify

25 \cdot 2^{32} \cdot 5^{38} (5 \cdot 1 0^{- 11})^{2} : 2^{32} \cdot 5^{38} \cdot \frac{1}{4194304 \cdot 5 ^{18}}

= \frac{1}{2 ^{32} \cdot 5 ^{38} \cdot \frac{1}{4194304 \cdot 5 ^{18}}}

810 (1.6 9^{\frac{1}{365}})^{365}

745200 e^{- 0.12 \cdot 11}

e^{- y} (y e^{y})

12.56 x 1 0^{- 7} \cdot 3

2.85517 \cdot 1 0^{- 3}

What is ((1.6*10^{-19})^2)/((5*10^{-11))^2} ?
The solution to ((1.6*10^{-19})^2)/((5*10^{-11))^2} is 1/(2^{32)*5^{38}*1/(4194304*5^{18)}}