Simplify (3e^4)^3

${(3 e^{4})}^{3}$

Step 1

Apply the product rule to $3 e^{4}$ .

$3^{3} {(e^{4})}^{3}$

Step 2

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

$27 {(e^{4})}^{3}$

Step 3

Multiply the exponents in ${(e^{4})}^{3}$ .

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

$27 e^{4 \cdot 3}$

Multiply $4$ by $3$ .

$27 e^{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$27 e^{12}$

Decimal Form:

$4394379.3683131$