What is 5e^{-t}xsin(t) ?

The solution to 5e^{-t}xsin(t) is (5xsin(t))/(e^t)

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simplify 5e^{-t}xsin(t)

simplify

5 e^{- t} x sin (t)

\frac{5 x sin ( t )}{e ^{t}}

Solution steps

5 e^{- t} x sin (t)

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{t}} x sin (t)

Multiply fractions:

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

= \frac{1 \cdot 5 x sin ( t )}{e ^{t}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 x sin ( t )}{e ^{t}}

e^{- l n ∣ 1 - s i n (t) c o s (t) ∣}

16 a^{6} b^{6}

7 x^{2} (x - 2)^{2}

1 6^{- 2}