Simplify ((4^5)/4)^3

${(\frac{4^{5}}{4})}^{3}$

Cancel the common factor of $4^{5}$ and $4$ .

Factor $4$ out of $4^{5}$ .

${(\frac{4 \cdot 4^{4}}{4})}^{3}$

Cancel the common factors.

Factor $4$ out of $4$ .

${(\frac{4 \cdot 4^{4}}{4 (1)})}^{3}$

Cancel the common factor.

${(\frac{4 \cdot 4^{4}}{4 \cdot 1})}^{3}$

Rewrite the expression.

${(\frac{4^{4}}{1})}^{3}$

Divide $4^{4}$ by $1$ .

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

Simplify the expression.

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

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

$4^{4 \cdot 3}$

Multiply $4$ by $3$ .

$4^{12}$

Raise $4$ to the power of $12$ .

$16777216$