What is 124e^{-0.0077(65)} ?

The solution to 124e^{-0.0077(65)} is 75.17220…

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simplify 124e^{-0.0077(65)}

simplify

124 e^{- 0.0077 (65)}

75.17220 \dots

Solution steps

124 e^{- 0.0077 (65)}

Apply exponent rule:

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

= 124 \cdot \frac{1}{e ^{65 \cdot 0.0077}}

Multiply the numbers:

0.0077 \cdot 65 = 0.5005

= 124 \cdot \frac{1}{e ^{0.5005}}

Multiply fractions:

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

= \frac{1 \cdot 124}{e ^{0.5005}}

Multiply the numbers:

1 \cdot 124 = 124

= \frac{124}{e ^{0.5005}}

e^{0.5005} = 1.64954 \dots

= \frac{124}{1.64954 \dots}

Divide the numbers:

\frac{124}{1.64954 \dots} = 75.17220 \dots

= 75.17220 \dots

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