Simplify (4e^2)^3

${(4 e^{2})}^{3}$

Step 1

Apply the product rule to $4 e^{2}$ .

$4^{3} {(e^{2})}^{3}$

Step 2

Raise $4$ to the power of $3$ .

$64 {(e^{2})}^{3}$

Step 3

Multiply the exponents in ${(e^{2})}^{3}$ .

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

$64 e^{2 \cdot 3}$

Multiply $2$ by $3$ .

$64 e^{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$64 e^{6}$

Decimal Form:

$25819.44278353 \dots$