What is 386.88e^{-0.03232(20)} ?

The solution to 386.88e^{-0.03232(20)} is 202.69746…

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simplify 386.88e^{-0.03232(20)}

simplify

386.88 e^{- 0.03232 (20)}

202.69746 \dots

Solution steps

386.88 e^{- 0.03232 (20)}

Apply exponent rule:

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

= 386.88 \cdot \frac{1}{e ^{20 \cdot 0.03232}}

Multiply the numbers:

0.03232 \cdot 20 = 0.6464

= 386.88 \cdot \frac{1}{e ^{0.6464}}

Multiply fractions:

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

= \frac{1 \cdot 386.88}{e ^{0.6464}}

Multiply the numbers:

1 \cdot 386.88 = 386.88

= \frac{386.88}{e ^{0.6464}}

e^{0.6464} = 1.90865 \dots

= \frac{386.88}{1.90865 \dots}

Divide the numbers:

\frac{386.88}{1.90865 \dots} = 202.69746 \dots

= 202.69746 \dots

e^{- l n (3 - x)}

e^{- 2 l n (2 x - 1)}

(e^{- k})^{15}

What is 386.88e^{-0.03232(20)} ?
The solution to 386.88e^{-0.03232(20)} is 202.69746…