Algebra Examples

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

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

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

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Step 1.1.1

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

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

Step 1.1.2

Multiply by $1$ .

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

Step 1.1.3

Cancel the common factor.

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

Step 1.1.4

Rewrite the expression.

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

Step 1.2

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

$\sqrt{7^{2}}$

Step 2

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

$\sqrt{49}$

Step 3

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

$\sqrt{7^{2}}$

Step 4

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

$7$