What is 15e^{(-0.069*5)} ?

The solution to 15e^{(-0.069*5)} is 10.62330…

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simplify 15e^{(-0.069*5)}

simplify

15 e^{(- 0.069 \cdot 5)}

10.62330 \dots

Solution steps

15 e^{(- 0.069 \cdot 5)}

Apply exponent rule:

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

= 15 \cdot \frac{1}{e ^{5 \cdot 0.069}}

Multiply the numbers:

0.069 \cdot 5 = 0.345

= 15 \cdot \frac{1}{e ^{0.345}}

Multiply fractions:

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

= \frac{1 \cdot 15}{e ^{0.345}}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15}{e ^{0.345}}

e^{0.345} = 1.41198 \dots

= \frac{15}{1.41198 \dots}

Divide the numbers:

\frac{15}{1.41198 \dots} = 10.62330 \dots

= 10.62330 \dots

\frac{2}{17}

e^{- t} e^{t}

7.5 \cdot 1 0^{- 7}