What is simplify-e^{ln(3)}en((3pi)/2) ?

The solution to simplify-e^{ln(3)}en((3pi)/2) is -(9pien)/2

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simplify-e^{ln(3)}en((3pi)/2)

simplify

- e^{l n (3)} e n (\frac{3 π}{2})

- \frac{9 π e n}{2}

Solution steps

- e^{l n (3)} e n (\frac{3 π}{2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{l n (3)} e = e^{l n (3) + 1}

= - e^{l n (3) + 1} n \frac{3 π}{2}

Multiply fractions:

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

= - e^{l n (3) + 1} \frac{3 πn}{2}

e^{l n (3) + 1} = 3 e

= - 3 e \frac{3 πn}{2}

Simplify

= - \frac{9 π e n}{2}

e^{- s t} (1 - t)

(\frac{1}{e})^{- 5}

- x^{2} (x - 2)^{2} (x + 2)

404 e^{- 0.032 (25)}

(x - 4)^{3}

What is simplify-e^{ln(3)}en((3pi)/2) ?
The solution to simplify-e^{ln(3)}en((3pi)/2) is -(9pien)/2