What is 77e^{-0.01391(30)} ?

The solution to 77e^{-0.01391(30)} is 50.72938…

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simplify 77e^{-0.01391(30)}

simplify

77 e^{- 0.01391 (30)}

50.72938 \dots

Solution steps

77 e^{- 0.01391 (30)}

Apply exponent rule:

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

= 77 \cdot \frac{1}{e ^{30 \cdot 0.01391}}

Multiply the numbers:

0.01391 \cdot 30 = 0.4173

= 77 \cdot \frac{1}{e ^{0.4173}}

Multiply fractions:

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

= \frac{1 \cdot 77}{e ^{0.4173}}

Multiply the numbers:

1 \cdot 77 = 77

= \frac{77}{e ^{0.4173}}

e^{0.4173} = 1.51785 \dots

= \frac{77}{1.51785 \dots}

Divide the numbers:

\frac{77}{1.51785 \dots} = 50.72938 \dots

= 50.72938 \dots

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