Simplify (6^5*6)/(6^5)

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

Multiply $6^{5}$ by $6$ by adding the exponents.

Multiply $6^{5}$ by $6$ .

Raise $6$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $5$ and $1$ .

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

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

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

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{6}{1}$

Divide $6$ by $1$ .

$6$