What is 65*e^{-0.00012(1)} ?

The solution to 65*e^{-0.00012(1)} is 64.99220…

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simplify 65*e^{-0.00012(1)}

simplify

65 \cdot e^{- 0.00012 (1)}

64.99220 \dots

Solution steps

65 e^{- 0.00012 (1)}

Apply exponent rule:

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

= 65 \cdot \frac{1}{e ^{1 \cdot 0.00012}}

Multiply the numbers:

0.00012 \cdot 1 = 0.00012

= 65 \cdot \frac{1}{e ^{0.00012}}

Multiply fractions:

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

= \frac{1 \cdot 65}{e ^{0.00012}}

Multiply the numbers:

1 \cdot 65 = 65

= \frac{65}{e ^{0.00012}}

e^{0.00012} = 1.00012 \dots

= \frac{65}{1.00012 \dots}

Divide the numbers:

\frac{65}{1.00012 \dots} = 64.99220 \dots

= 64.99220 \dots

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