What is (1000)(1.6*10^{-19}) ?

The solution to (1000)(1.6*10^{-19}) is 1/(5^{17)*8192}

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simplify (1000)(1.6*10^{-19})

simplify

(1000) (1.6 \cdot 1 0^{- 19})

\frac{1}{5 ^{17} \cdot 8192}

Solution steps

(1000) (1.6 \cdot 1 0^{- 19})

Apply rule:

(a) = a

(1000) = 1000

= 1000 \cdot 1.6 \cdot 1 0^{- 19}

Multiply the numbers:

1000 \cdot 1.6 = 1600

= 1600 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 1600

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 1600

\frac{1}{1 0 ^{19}} \cdot 1600 = \frac{1}{5 ^{17} \cdot 8192}

= \frac{1}{5 ^{17} \cdot 8192}

e^{- s t} sin^{2} (t)

(π \cdot 5 \cdot 10) \cdot (π \cdot 5^{2})

What is (1000)(1.6*10^{-19}) ?
The solution to (1000)(1.6*10^{-19}) is 1/(5^{17)*8192}