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

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

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simplify 3(x+3)e^{-x/3}

simplify

3 (x + 3) e^{- \frac{x}{3}}

\frac{3 ( x + 3 )}{e ^{\frac{x}{3}}}

Solution steps

3 (x + 3) e^{- \frac{x}{3}}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{\frac{x}{3}}} (x + 3)

Multiply fractions:

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

= \frac{1 \cdot 3 ( x + 3 )}{e ^{\frac{x}{3}}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 ( x + 3 )}{e ^{\frac{x}{3}}}

tan^{2} (x) \times csc^{2} (x)

25 e^{- 0.45 (3)}

43 b^{3} b

4500 e^{- 0.1345 (35)}