What is simplify-5e^{-2(t-kt)}u(t-kt) ?

The solution to simplify-5e^{-2(t-kt)}u(t-kt) is -(5u(t-kt))/(e^{2(t-kt))}

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simplify-5e^{-2(t-kt)}u(t-kt)

simplify

- 5 e^{- 2 (t - k t)} u (t - k t)

- \frac{5 u ( t - k t )}{e ^{2 (t - k t)}}

Solution steps

- 5 e^{- 2 (t - k t)} u (t - k t)

Apply exponent rule:

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

= - 5 \cdot \frac{1}{e ^{2 (t - k t)}} u (t - k t)

Multiply fractions:

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

= - \frac{1 \cdot 5 u ( t - k t )}{e ^{2 (t - k t)}}

Multiply the numbers:

1 \cdot 5 = 5

= - \frac{5 u ( t - k t )}{e ^{2 (t - k t)}}

1 0^{- (\frac{5}{- 0.085})} \cdot 3100 0^{\frac{1}{- 0.085}}

(2.84758 \cdot 1 0^{9}) (1.6022 \cdot 1 0^{- 19})

2 \cdot π \cdot 8.85 \cdot 1 0^{- 12} \cdot \frac{10000}{ln ( 1.2 )}

0.3 \cdot 19 \cdot 1 0^{- 6} \cdot 55

2.15 \cdot 1 0^{- 2} \cdot 1.2

What is simplify-5e^{-2(t-kt)}u(t-kt) ?
The solution to simplify-5e^{-2(t-kt)}u(t-kt) is -(5u(t-kt))/(e^{2(t-kt))}