Evaluate (4^6)/(4^4)

$\frac{4^{6}}{4^{4}}$

Step 1

Cancel the common factor of $4^{6}$ and $4^{4}$ .

Factor $4^{4}$ out of $4^{6}$ .

$\frac{4^{4} \cdot 4^{2}}{4^{4}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{4^{4} \cdot 4^{2}}{4^{4} \cdot 1}$

Cancel the common factor.

$\frac{4^{4} \cdot 4^{2}}{4^{4} \cdot 1}$

Rewrite the expression.

$\frac{4^{2}}{1}$

Divide $4^{2}$ by $1$ .

$4^{2}$

$4^{2}$

$4^{2}$

Step 2

Raise $4$ to the power of $2$ .

$16$

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