What is 17.92*e^{(-1.3*(1000)/(0.2))} ?

The solution to 17.92*e^{(-1.3*(1000)/(0.2))} is (17.92)/(e^{6500)}

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simplify 17.92e^{(-1.3(1000)/(0.2))}

simplify

17.92 \cdot e^{(- 1.3 \cdot \frac{1000}{0.2})}

\frac{17.92}{e ^{6500}}

Solution steps

17.92 e^{(- 1.3 \cdot \frac{1000}{0.2})}

Apply exponent rule:

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

= 17.92 \cdot \frac{1}{e ^{1.3 \cdot \frac{1000}{0.2}}}

\frac{1}{e ^{1.3 \cdot \frac{1000}{0.2}}} = \frac{1}{e ^{6500}}

= 17.92 \cdot \frac{1}{e ^{6500}}

Multiply fractions:

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

= \frac{1 \cdot 17.92}{e ^{6500}}

Multiply the numbers:

1 \cdot 17.92 = 17.92

= \frac{17.92}{e ^{6500}}

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What is 17.92*e^{(-1.3*(1000)/(0.2))} ?
The solution to 17.92*e^{(-1.3*(1000)/(0.2))} is (17.92)/(e^{6500)}