What is e^{-5x}sin(4y)cos(3z) ?

The solution to e^{-5x}sin(4y)cos(3z) is (sin(4y)cos(3z))/(e^{5x)}

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simplify e^{-5x}sin(4y)cos(3z)

simplify

e^{- 5 x} sin (4 y) cos (3 z)

\frac{sin ( 4 y ) cos ( 3 z )}{e ^{5 x}}

Solution steps

e^{- 5 x} sin (4 y) cos (3 z)

Apply exponent rule:

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

= \frac{1}{e ^{5 x}} sin (4 y) cos (3 z)

Multiply fractions:

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

= \frac{1 \cdot sin ( 4 y ) cos ( 3 z )}{e ^{5 x}}

Multiply:

1 \cdot sin (4 y) = sin (4 y)

= \frac{sin ( 4 y ) cos ( 3 z )}{e ^{5 x}}

(e^{2})^{- \frac{1}{2}}

y^{8 - 4 x}

e^{- 2 l n ∣ x + 3 ∣}

e^{- l n (3^{n})}

What is e^{-5x}sin(4y)cos(3z) ?
The solution to e^{-5x}sin(4y)cos(3z) is (sin(4y)cos(3z))/(e^{5x)}