What is e^{-6t}[60sin(6t)] ?

The solution to e^{-6t}[60sin(6t)] is (60sin(6t))/(e^{6t)}

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simplify e^{-6t}[60sin(6t)]

simplify

e^{- 6 t} [60 sin (6 t)]

\frac{60 sin ( 6 t )}{e ^{6 t}}

Solution steps

e^{- 6 t} [60 sin (6 t)]

Apply exponent rule:

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

= \frac{1}{e ^{6 t}} [60 sin (6 t)]

Remove parentheses:

(a) = a

= \frac{1}{e ^{6 t}} \cdot 60 sin (6 t)

Multiply fractions:

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

= \frac{1 \cdot 60 sin ( 6 t )}{e ^{6 t}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60 sin ( 6 t )}{e ^{6 t}}

5.6 \cdot (x - 8) \cdot 222.789 \cdot 1 0^{- 3}

2 + 3 \cdot 2

(6 m^{3} n^{3}) (8 m^{2} n^{3})

e^{- 0.008}

What is e^{-6t}[60sin(6t)] ?
The solution to e^{-6t}[60sin(6t)] is (60sin(6t))/(e^{6t)}