What is e^{-2(t-1)}u(t-1) ?

The solution to e^{-2(t-1)}u(t-1) is (u(t-1))/(e^{2(t-1))}

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simplify e^{-2(t-1)}u(t-1)

simplify

e^{- 2 (t - 1)} u (t - 1)

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

Solution steps

e^{- 2 (t - 1)} u (t - 1)

Apply exponent rule:

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

= \frac{1}{e ^{2 (t - 1)}} u (t - 1)

Multiply fractions:

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

= \frac{1 \cdot u ( t - 1 )}{e ^{2 (t - 1)}}

Multiply:

1 \cdot u = u

= \frac{u ( t - 1 )}{e ^{2 (t - 1)}}

(3 x^{2} y) (5 x^{10})

e^{- \frac{7}{20}}

80 e^{- 0.0123 t} \cdot (- 0.0123)

What is e^{-2(t-1)}u(t-1) ?
The solution to e^{-2(t-1)}u(t-1) is (u(t-1))/(e^{2(t-1))}