What is 150*e^{-135/80} ?

The solution to 150*e^{-135/80} is (150)/(e^{27/16)}

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simplify 150*e^{-135/80}

simplify

150 \cdot e^{- \frac{135}{80}}

\frac{150}{e ^{\frac{27}{16}}}

Decimal Notation

27.74720 \dots

Solution steps

150 e^{- \frac{135}{80}}

Apply exponent rule:

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

= 150 \cdot \frac{1}{e ^{\frac{135}{80}}}

\frac{1}{e ^{\frac{135}{80}}} = \frac{1}{e ^{\frac{27}{16}}}

= 150 \cdot \frac{1}{e ^{\frac{27}{16}}}

Multiply fractions:

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

= \frac{1 \cdot 150}{e ^{\frac{27}{16}}}

Multiply the numbers:

1 \cdot 150 = 150

= \frac{150}{e ^{\frac{27}{16}}}

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