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

${(2 e^{3 x})}^{3}$

Step 1

Apply the product rule to $2 e^{3 x}$ .

$2^{3} {(e^{3 x})}^{3}$

Step 2

Raise $2$ to the power of $3$ .

$8 {(e^{3 x})}^{3}$

Step 3

Multiply the exponents in ${(e^{3 x})}^{3}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$8 e^{3 x \cdot 3}$

Multiply $3$ by $3$ .

$8 e^{9 x}$