What is 7e^{-3/5 pi} ?

The solution to 7e^{-3/5 pi} is 7/(e^{\frac{3pi){5}}}

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simplify 7e^{-3/5 pi}

simplify

7 e^{- \frac{3}{5} π}

\frac{7}{e ^{\frac{3 π}{5}}}

Decimal Notation

1.06285 \dots

Solution steps

7 e^{- \frac{3}{5} π}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{π \frac{3}{5}}}

\frac{1}{e ^{\frac{3}{5} π}} = \frac{1}{e ^{\frac{3 π}{5}}}

= 7 \cdot \frac{1}{e ^{\frac{3 π}{5}}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{\frac{3 π}{5}}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{\frac{3 π}{5}}}

e^{(- 2 l n (5))}

e^{986}

1.35 \cdot 1 0^{- 6}