Write the Fraction in Simplest Form (2^5)/(6^5)

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

Raise $2$ to the power of $5$ .

$\frac{32}{6^{5}}$

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

$\frac{32}{7776}$

Cancel the common factor of $32$ and $7776$ .

Factor $32$ out of $32$ .

$\frac{32 (1)}{7776}$

Cancel the common factors.

Factor $32$ out of $7776$ .

$\frac{32 \cdot 1}{32 \cdot 243}$

Cancel the common factor.

$\frac{32 \cdot 1}{32 \cdot 243}$

Rewrite the expression.

$\frac{1}{243}$