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Popular >

simplify e^{-at}cos^3(b)t

Solution

simplify

e^{- a t} cos^{3} (b) t

Solution

\frac{t cos ^{3} ( b )}{e ^{a t}}

Solution steps

e^{- a t} cos^{3} (b) t

Apply exponent rule:

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

= \frac{1}{e ^{a t}} t cos^{3} (b)

Multiply fractions:

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

= \frac{1 \cdot cos ^{3} ( b ) t}{e ^{a t}}

Multiply:

1 \cdot cos^{3} (b) = cos^{3} (b)

= \frac{t cos ^{3} ( b )}{e ^{a t}}

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Frequently Asked Questions (FAQ)

What is e^{-at}cos^3(b)t ?
The solution to e^{-at}cos^3(b)t is (tcos^3(b))/(e^{at)}