What is x^{-3}(x^6*e^{3x}) ?

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

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simplify x^{-3}(x^6*e^{3x})

simplify

x^{- 3} (x^{6} \cdot e^{3 x})

e^{3 x} x^{3}

Solution steps

x^{- 3} (x^{6} e^{3 x})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{- 3} x^{6} = x^{- 3 + 6}

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

Add/Subtract the numbers:

- 3 + 6 = 3

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

567 e^{- 3 (0)}

7 e^{- 0.093 \cdot 32}

1.442 (ln (x))^{2} (x ln (x))

7.85 \cdot 1 0^{- 3}

(40 e^{0.05} - 40) e^{- 0.05}