Simplify e^x*6e^(3x-1)

$e^{x} \cdot 6 e^{3 x - 1}$

Step 1

Rewrite using the commutative property of multiplication.

$6 e^{x} e^{3 x - 1}$

Step 2

Multiply $e^{x}$ by $e^{3 x - 1}$ by adding the exponents.

Move $e^{3 x - 1}$ .

$6 (e^{3 x - 1} e^{x})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 e^{3 x - 1 + x}$

Add $3 x$ and $x$ .

$6 e^{4 x - 1}$