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Evaluate (6^7)÷(6^5)

$6^{7} \div 6^{5}$

Step 1

Rewrite the division as a fraction.

$\frac{6^{7}}{6^{5}}$

Step 2

Cancel the common factor of $6^{7}$ and $6^{5}$ .

Factor $6^{5}$ out of $6^{7}$ .

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $6^{2}$ by $1$ .

$6^{2}$

$6^{2}$

$6^{2}$

Step 3

Raise $6$ to the power of $2$ .

$36$

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