What is e^{-3x}*(9x)/(e^{3x)} ?

The solution to e^{-3x}*(9x)/(e^{3x)} is (9x)/(e^{6x)}

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simplify e^{-3x}*(9x)/(e^{3x)}

simplify

e^{- 3 x} \cdot \frac{9 x}{e ^{3 x}}

\frac{9 x}{e ^{6 x}}

Solution steps

e^{- 3 x} \frac{9 x}{e ^{3 x}}

Apply exponent rule:

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

= \frac{1}{e ^{3 x}} \cdot \frac{9 x}{e ^{3 x}}

Multiply fractions:

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

= \frac{1 \cdot 9 x}{e ^{3 x} e ^{3 x}}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9 x}{e ^{3 x} e ^{3 x}}

e^{3 x} e^{3 x} = e^{6 x}

= \frac{9 x}{e ^{6 x}}

1000 \cdot 1 0^{- 6} \cdot 2 π (\frac{0.25}{2})^{2}

\frac{e ^{4}}{e ^{3}}

2.5 \cdot 1 0^{- 11}

e^{- 2 l n ∣ t ∣}

e^{t} sin (t) \cdot (- 2) e^{t} sin (t)

What is e^{-3x}*(9x)/(e^{3x)} ?
The solution to e^{-3x}*(9x)/(e^{3x)} is (9x)/(e^{6x)}