Evaluate (3^7)/(3^5)

$\frac{3^{7}}{3^{5}}$

Step 1

Cancel the common factor of $3^{7}$ and $3^{5}$ .

Factor $3^{5}$ out of $3^{7}$ .

$\frac{3^{5} \cdot 3^{2}}{3^{5}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{3^{5} \cdot 3^{2}}{3^{5} \cdot 1}$

Cancel the common factor.

$\frac{3^{5} \cdot 3^{2}}{3^{5} \cdot 1}$

Rewrite the expression.

$\frac{3^{2}}{1}$

Divide $3^{2}$ by $1$ .

$3^{2}$

$3^{2}$

$3^{2}$

Step 2

Raise $3$ to the power of $2$ .

$9$

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