What is e^{4x}\times 4xe^{4x} ?

The solution to e^{4x}\times 4xe^{4x} is 4e^{8x}x

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simplify e^{4x}\times 4xe^{4x}

simplify

e^{4 x} \cdot 4 x e^{4 x}

4 e^{8 x} x

Solution steps

e^{4 x} \cdot 4 x e^{4 x}

Apply exponent rule:

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

e^{4 x} e^{4 x} = e^{4 x + 4 x}

= 4 x e^{4 x + 4 x}

Add similar elements:

4 x + 4 x = 8 x

= 4 x e^{8 x}

e^{\frac{x}{3}} e^{- \frac{5 x}{6}}

46

e^{- 0.095} \times 5

7 (x + 1)^{2}

512

What is e^{4x}\times 4xe^{4x} ?
The solution to e^{4x}\times 4xe^{4x} is 4e^{8x}x