Evaluate (5^8)/(5^2)

$\frac{5^{8}}{5^{2}}$

Step 1

Cancel the common factor of $5^{8}$ and $5^{2}$ .

Factor $5^{2}$ out of $5^{8}$ .

$\frac{5^{2} \cdot 5^{6}}{5^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{5^{2} \cdot 5^{6}}{5^{2} \cdot 1}$

Cancel the common factor.

$\frac{5^{2} \cdot 5^{6}}{5^{2} \cdot 1}$

Rewrite the expression.

$\frac{5^{6}}{1}$

Divide $5^{6}$ by $1$ .

$5^{6}$

$5^{6}$

$5^{6}$

Step 2

Raise $5$ to the power of $6$ .

$15625$

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