What is 80.7e^{-0.048*15.3} ?

The solution to 80.7e^{-0.048*15.3} is 38.71931…

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simplify 80.7e^{-0.048*15.3}

simplify

80.7 e^{- 0.048 \cdot 15.3}

38.71931 \dots

Solution steps

80.7 e^{- 0.048 \cdot 15.3}

Apply exponent rule:

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

= 80.7 \cdot \frac{1}{e ^{0.048 \cdot 15.3}}

Multiply the numbers:

0.048 \cdot 15.3 = 0.7344

= 80.7 \cdot \frac{1}{e ^{0.7344}}

Multiply fractions:

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

= \frac{1 \cdot 80.7}{e ^{0.7344}}

Multiply the numbers:

1 \cdot 80.7 = 80.7

= \frac{80.7}{e ^{0.7344}}

e^{0.7344} = 2.08423 \dots

= \frac{80.7}{2.08423 \dots}

Divide the numbers:

\frac{80.7}{2.08423 \dots} = 38.71931 \dots

= 38.71931 \dots

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