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

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

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

simplify

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

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

Solution steps

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

Multiply the numbers:

9 \cdot 1 = 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}}

(e^{- \frac{θ}{10}})^{2}

- 2.18 \cdot 1 0^{- 18} (\frac{1}{4 ^{2}} - \frac{1}{2 ^{2}})

1.39 \cdot 1 0^{- 4}

\frac{1}{4} e^{- \frac{x}{4}}

(23) (32)

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