Basic Math Examples

$\sqrt{y} \cdot \sqrt{\frac{y^{11}}{y}}$

Step 1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.1

Reduce the expression $\frac{y^{11}}{y}$ by cancelling the common factors.

Tap for more steps...

Step 1.1.1

Factor $y$ out of $y^{11}$ .

$\sqrt{y} \cdot \sqrt{\frac{y \cdot y^{10}}{y}}$

Step 1.1.2

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

$\sqrt{y} \cdot \sqrt{\frac{y \cdot y^{10}}{y^{1}}}$

Step 1.1.3

Factor $y$ out of $y^{1}$ .

$\sqrt{y} \cdot \sqrt{\frac{y \cdot y^{10}}{y \cdot 1}}$

Step 1.1.4

Cancel the common factor.

$\sqrt{y} \cdot \sqrt{\frac{y \cdot y^{10}}{y \cdot 1}}$

Step 1.1.5

Rewrite the expression.

$\sqrt{y} \cdot \sqrt{\frac{y^{10}}{1}}$

Step 1.2

Divide $y^{10}$ by $1$ .

$\sqrt{y} \cdot \sqrt{y^{10}}$

Step 2

Rewrite $y^{10}$ as ${(y^{5})}^{2}$ .

$\sqrt{y} \cdot \sqrt{{(y^{5})}^{2}}$

Step 3

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

$\sqrt{y} y^{5}$