What is 3e^{-x}sin(pix) ?

The solution to 3e^{-x}sin(pix) is (3sin(pix))/(e^x)

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simplify 3e^{-x}sin(pix)

simplify

3 e^{- x} sin (π x)

\frac{3 sin ( π x )}{e ^{x}}

Solution steps

3 e^{- x} sin (π x)

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{x}} sin (π x)

Multiply fractions:

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

= \frac{1 \cdot 3 sin ( π x )}{e ^{x}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 sin ( π x )}{e ^{x}}

(2 x + 1)^{4} (3 x - 1)^{4}

e^{- 2 x} \times e^{2 x}