What is 165e^{-0.04(15)} ?

The solution to 165e^{-0.04(15)} is 90.55391…

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simplify 165e^{-0.04(15)}

simplify

165 e^{- 0.04 (15)}

90.55391 \dots

Solution steps

165 e^{- 0.04 (15)}

Apply exponent rule:

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

= 165 \cdot \frac{1}{e ^{15 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 15 = 0.6

= 165 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 165}{e ^{0.6}}

Multiply the numbers:

1 \cdot 165 = 165

= \frac{165}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{165}{1.82211 \dots}

Divide the numbers:

\frac{165}{1.82211 \dots} = 90.55391 \dots

= 90.55391 \dots

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