What is 30e^{-0.2(8)} ?

The solution to 30e^{-0.2(8)} is 6.05689…

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simplify 30e^{-0.2(8)}

simplify

30 e^{- 0.2 (8)}

6.05689 \dots

Solution steps

30 e^{- 0.2 (8)}

Apply exponent rule:

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

= 30 \cdot \frac{1}{e ^{8 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 8 = 1.6

= 30 \cdot \frac{1}{e ^{1.6}}

Multiply fractions:

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

= \frac{1 \cdot 30}{e ^{1.6}}

Multiply the numbers:

1 \cdot 30 = 30

= \frac{30}{e ^{1.6}}

e^{1.6} = 4.95303 \dots

= \frac{30}{4.95303 \dots}

Divide the numbers:

\frac{30}{4.95303 \dots} = 6.05689 \dots

= 6.05689 \dots

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