Find the Exact Value (2^8)/(2^4)

$\frac{2^{8}}{2^{4}}$

Step 1

Cancel the common factor of $2^{8}$ and $2^{4}$ .

Factor $2^{4}$ out of $2^{8}$ .

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$2^{4}$

$2^{4}$

$2^{4}$

Step 2

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

$16$

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