What is 600e^{-0.032(8)} ?

The solution to 600e^{-0.032(8)} is 464.48518…

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simplify 600e^{-0.032(8)}

simplify

600 e^{- 0.032 (8)}

464.48518 \dots

Solution steps

600 e^{- 0.032 (8)}

Apply exponent rule:

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

= 600 \cdot \frac{1}{e ^{8 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 8 = 0.256

= 600 \cdot \frac{1}{e ^{0.256}}

Multiply fractions:

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

= \frac{1 \cdot 600}{e ^{0.256}}

Multiply the numbers:

1 \cdot 600 = 600

= \frac{600}{e ^{0.256}}

e^{0.256} = 1.29175 \dots

= \frac{600}{1.29175 \dots}

Divide the numbers:

\frac{600}{1.29175 \dots} = 464.48518 \dots

= 464.48518 \dots

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