Simplify square root of (7^6)/(7^4)

$\sqrt{\frac{7^{6}}{7^{4}}}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{7^{6}}{7^{4}}$ by cancelling the common factors.

Factor $7^{4}$ out of $7^{6}$ .

$\sqrt{\frac{7^{4} \cdot 7^{2}}{7^{4}}}$

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\sqrt{\frac{7^{2}}{1}}$

Divide $7^{2}$ by $1$ .

$\sqrt{7^{2}}$

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

$\sqrt{49}$

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$7$