Evaluate (4^8)/(4^5)

$\frac{4^{8}}{4^{5}}$

Step 1

Cancel the common factor of $4^{8}$ and $4^{5}$ .

Factor $4^{5}$ out of $4^{8}$ .

$\frac{4^{5} \cdot 4^{3}}{4^{5}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{4^{5} \cdot 4^{3}}{4^{5} \cdot 1}$

Cancel the common factor.

$\frac{4^{5} \cdot 4^{3}}{4^{5} \cdot 1}$

Rewrite the expression.

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

Divide $4^{3}$ by $1$ .

$4^{3}$

$4^{3}$

$4^{3}$

Step 2

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

$64$

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