What is 157e^{-0.55(1)} ?

The solution to 157e^{-0.55(1)} is 90.58112…

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simplify 157e^{-0.55(1)}

simplify

157 e^{- 0.55 (1)}

90.58112 \dots

Solution steps

157 e^{- 0.55 (1)}

Apply exponent rule:

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

= 157 \cdot \frac{1}{e ^{1 \cdot 0.55}}

Multiply the numbers:

0.55 \cdot 1 = 0.55

= 157 \cdot \frac{1}{e ^{0.55}}

Multiply fractions:

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

= \frac{1 \cdot 157}{e ^{0.55}}

Multiply the numbers:

1 \cdot 157 = 157

= \frac{157}{e ^{0.55}}

e^{0.55} = 1.73325 \dots

= \frac{157}{1.73325 \dots}

Divide the numbers:

\frac{157}{1.73325 \dots} = 90.58112 \dots

= 90.58112 \dots

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