What is 4000e^{-(0.06)(8)} ?

The solution to 4000e^{-(0.06)(8)} is 2475.13356…

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simplify 4000e^{-(0.06)(8)}

simplify

4000 e^{- (0.06) (8)}

2475.13356 \dots

Solution steps

4000 e^{- (0.06) (8)}

Apply exponent rule:

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

= 4000 \cdot \frac{1}{e ^{8 \cdot 0.06}}

Multiply the numbers:

0.06 \cdot 8 = 0.48

= 4000 \cdot \frac{1}{e ^{0.48}}

Multiply fractions:

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

= \frac{1 \cdot 4000}{e ^{0.48}}

Multiply the numbers:

1 \cdot 4000 = 4000

= \frac{4000}{e ^{0.48}}

e^{0.48} = 1.61607 \dots

= \frac{4000}{1.61607 \dots}

Divide the numbers:

\frac{4000}{1.61607 \dots} = 2475.13356 \dots

= 2475.13356 \dots

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