What is 6(x^2+5)e^{-x/3} ?

The solution to 6(x^2+5)e^{-x/3} is (6(x^2+5))/(e^{x/3)}

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simplify 6(x^2+5)e^{-x/3}

simplify

6 (x^{2} + 5) e^{- \frac{x}{3}}

\frac{6 ( x ^{2} + 5 )}{e ^{\frac{x}{3}}}

Solution steps

6 (x^{2} + 5) e^{- \frac{x}{3}}

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{\frac{x}{3}}} (x^{2} + 5)

Multiply fractions:

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

= \frac{1 \cdot 6 ( x ^{2} + 5 )}{e ^{\frac{x}{3}}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6 ( x ^{2} + 5 )}{e ^{\frac{x}{3}}}

10 e^{- 0.017 (42)}

7.27 \cdot 1 0^{- 5}

(x + 2)^{2} (10 x^{2} + 24 x + 7)^{2}

What is 6(x^2+5)e^{-x/3} ?
The solution to 6(x^2+5)e^{-x/3} is (6(x^2+5))/(e^{x/3)}