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Popular >

simplify l(e^{-2t}cos(4t))

Solution

simplify

l (e^{- 2 t} cos (4 t))

Solution

\frac{l cos ( 4 t )}{e ^{2 t}}

Solution steps

l (e^{- 2 t} cos (4 t))

Apply exponent rule:

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

= l \frac{1}{e ^{2 t}} cos (4 t)

Multiply fractions:

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

= \frac{1 \cdot l cos ( 4 t )}{e ^{2 t}}

Multiply:

1 \cdot l = l

= \frac{l cos ( 4 t )}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is l(e^{-2t}cos(4t)) ?
The solution to l(e^{-2t}cos(4t)) is (lcos(4t))/(e^{2t)}