What is 80*e^{-0.0105*20} ?

The solution to 80*e^{-0.0105*20} is 64.84673…

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simplify 80e^{-0.010520}

simplify

80 \cdot e^{- 0.0105 \cdot 20}

64.84673 \dots

Solution steps

80 e^{- 0.0105 \cdot 20}

Apply exponent rule:

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

= 80 \cdot \frac{1}{e ^{20 \cdot 0.0105}}

Multiply the numbers:

0.0105 \cdot 20 = 0.21

= 80 \cdot \frac{1}{e ^{0.21}}

Multiply fractions:

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

= \frac{1 \cdot 80}{e ^{0.21}}

Multiply the numbers:

1 \cdot 80 = 80

= \frac{80}{e ^{0.21}}

e^{0.21} = 1.23367 \dots

= \frac{80}{1.23367 \dots}

Divide the numbers:

\frac{80}{1.23367 \dots} = 64.84673 \dots

= 64.84673 \dots

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