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Popular >

simplify u(t)e^{-t/a}

Solution

simplify

u (t) e^{- \frac{t}{a}}

Solution

\frac{u t}{e ^{\frac{t}{a}}}

Solution steps

u (t) e^{- \frac{t}{a}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{t}{a}}} u t

Multiply fractions:

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

= \frac{1 \cdot u t}{e ^{\frac{t}{a}}}

Multiply:

1 \cdot u = u

= \frac{u t}{e ^{\frac{t}{a}}}

Popular Examples

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e^{(- (1))} \frac{( ( 1 ) ^{2} + 4 ( 1 ) + 6 )}{1 ^{4}}

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[- 1.1] \frac{x ^{2}}{( x ^{3} + 3 ) ^{2}}

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800 e^{- 0.0244 (55)}

Frequently Asked Questions (FAQ)

What is u(t)e^{-t/a} ?
The solution to u(t)e^{-t/a} is (ut)/(e^{t/a)}