What is 85e^{-0.04*10} ?

The solution to 85e^{-0.04*10} is 56.97720…

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simplify 85e^{-0.04*10}

simplify

85 e^{- 0.04 \cdot 10}

56.97720 \dots

Solution steps

85 e^{- 0.04 \cdot 10}

Apply exponent rule:

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

= 85 \cdot \frac{1}{e ^{10 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 10 = 0.4

= 85 \cdot \frac{1}{e ^{0.4}}

Multiply fractions:

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

= \frac{1 \cdot 85}{e ^{0.4}}

Multiply the numbers:

1 \cdot 85 = 85

= \frac{85}{e ^{0.4}}

e^{0.4} = 1.49182 \dots

= \frac{85}{1.49182 \dots}

Divide the numbers:

\frac{85}{1.49182 \dots} = 56.97720 \dots

= 56.97720 \dots

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