Simplify (7^35^6)/(75^2)

$\frac{7^{3} \cdot 5^{6}}{7 \cdot 5^{2}}$

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

Factor $7$ out of $7^{3} \cdot 5^{6}$ .

$\frac{7 (7^{2} \cdot 5^{6})}{7 \cdot 5^{2}}$

Cancel the common factors.

Factor $7$ out of $7 \cdot 5^{2}$ .

$\frac{7 (7^{2} \cdot 5^{6})}{7 (5^{2})}$

Cancel the common factor.

$\frac{7 (7^{2} \cdot 5^{6})}{7 \cdot 5^{2}}$

Rewrite the expression.

$\frac{7^{2} \cdot 5^{6}}{5^{2}}$

$\frac{7^{2} \cdot 5^{6}}{5^{2}}$

$\frac{7^{2} \cdot 5^{6}}{5^{2}}$

Cancel the common factor of $5^{6}$ and $5^{2}$ .

Factor $5^{2}$ out of $7^{2} \cdot 5^{6}$ .

$\frac{5^{2} (7^{2} \cdot 5^{4})}{5^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{5^{2} (7^{2} \cdot 5^{4})}{5^{2} \cdot 1}$

Cancel the common factor.

$\frac{5^{2} (7^{2} \cdot 5^{4})}{5^{2} \cdot 1}$

Rewrite the expression.

$\frac{7^{2} \cdot 5^{4}}{1}$

Divide $7^{2} \cdot 5^{4}$ by $1$ .

$7^{2} \cdot 5^{4}$

$7^{2} \cdot 5^{4}$

$7^{2} \cdot 5^{4}$

Simplify the expression.

Raise $7$ to the power of $2$ .

$49 \cdot 5^{4}$

Raise $5$ to the power of $4$ .

$49 \cdot 625$

Multiply $49$ by $625$ .

$30625$

$30625$

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