Simplify 3e^x*(2e^(4x))

$3 e^{x} \cdot (2 e^{4 x})$

Step 1

Rewrite using the commutative property of multiplication.

$3 \cdot 2 e^{x} e^{4 x}$

Step 2

Multiply $e^{x}$ by $e^{4 x}$ by adding the exponents.

Move $e^{4 x}$ .

$3 \cdot 2 (e^{4 x} e^{x})$

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

$3 \cdot 2 e^{4 x + x}$

Add $4 x$ and $x$ .

$3 \cdot 2 e^{5 x}$

Step 3

Multiply $3$ by $2$ .

$6 e^{5 x}$