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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{3}} \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}}

Multiply the numbers:

9 \cdot 1 = 9

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

e^{3 x} e^{3} = e^{3 x + 3}

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

a^{- 4} b^{-} \frac{1}{2}

(4 ab) (b c^{2})

(3 x y^{5}) (2 y z^{2}) (5 x^{6})

4.32 \cdot 1 0^{- 2}

- e^{- 50}

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