What is 2500e^{-15/20} ?

The solution to 2500e^{-15/20} is (2500)/(e^{3/4)}

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simplify 2500e^{-15/20}

simplify

2500 e^{- \frac{15}{20}}

\frac{2500}{e ^{\frac{3}{4}}}

Decimal Notation

1180.91638 \dots

Solution steps

2500 e^{- \frac{15}{20}}

Apply exponent rule:

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

= 2500 \cdot \frac{1}{e ^{\frac{15}{20}}}

\frac{1}{e ^{\frac{15}{20}}} = \frac{1}{e ^{\frac{3}{4}}}

= 2500 \cdot \frac{1}{e ^{\frac{3}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 2500}{e ^{\frac{3}{4}}}

Multiply the numbers:

1 \cdot 2500 = 2500

= \frac{2500}{e ^{\frac{3}{4}}}

a^{2} (1 - cos (x))^{2}

9 - x

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\frac{e ^{- x}}{e ^{y}}