What is 10/100 e^{-(100)/(0.003333)*0.0001} ?

The solution to 10/100 e^{-(100)/(0.003333)*0.0001} is 0.00497…

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simplify 10/100 e^{-(100)/(0.003333)*0.0001}

simplify

\frac{10}{100} e^{- \frac{100}{0.003333} \cdot 0.0001}

0.00497 \dots

Solution steps

\frac{10}{100} e^{- \frac{100}{0.003333} \cdot 0.0001}

Apply exponent rule:

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

= \frac{10}{100} \cdot \frac{1}{e ^{0.0001 \cdot \frac{100}{0.003333}}}

\frac{10}{100} = \frac{1}{10}

= \frac{1}{10} \cdot \frac{1}{e ^{0.0001 \cdot \frac{100}{0.003333}}}

\frac{1}{e ^{\frac{100}{0.003333} \cdot 0.0001}} = \frac{1}{e ^{3.00030 \dots}}

= \frac{1}{10} \cdot \frac{1}{e ^{3.00030 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 1}{10 e ^{3.00030 \dots}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{10 e ^{3.00030 \dots}}

e^{3.00030 \dots} = 20.09156 \dots

= \frac{1}{10 \cdot 20.09156 \dots}

Multiply the numbers:

10 \cdot 20.09156 \dots = 200.91564 \dots

= \frac{1}{200.91564 \dots}

Divide the numbers:

\frac{1}{200.91564 \dots} = 0.00497 \dots

= 0.00497 \dots

x^{3} 5 x^{5} (x = 9 - 7 x^{7})^{\frac{1}{3}}

4 π \cdot 1 0^{- 7} \cdot \frac{10}{15}

e^{- 3.7}

e^{- 0.00004 \cdot 20288}

(x + 2)^{2} (- x + 1)^{2}

What is 10/100 e^{-(100)/(0.003333)*0.0001} ?
The solution to 10/100 e^{-(100)/(0.003333)*0.0001} is 0.00497…