Algebra Examples

$\sqrt{b} \cdot \sqrt{b}$

Step 1

Multiply $\sqrt{b} \sqrt{b}$ .

Tap for more steps...

Step 1.1

Raise $\sqrt{b}$ to the power of $1$ .

${\sqrt{b}}^{1} \sqrt{b}$

Step 1.2

Raise $\sqrt{b}$ to the power of $1$ .

${\sqrt{b}}^{1} {\sqrt{b}}^{1}$

Step 1.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sqrt{b}}^{1 + 1}$

Step 1.4

Add $1$ and $1$ .

${\sqrt{b}}^{2}$

Step 2

Rewrite ${\sqrt{b}}^{2}$ as $b$ .

Tap for more steps...

Step 2.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{b}$ as $b^{\frac{1}{2}}$ .

${(b^{\frac{1}{2}})}^{2}$

Step 2.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$b^{\frac{1}{2} \cdot 2}$

Step 2.3

Combine $\frac{1}{2}$ and $2$ .

$b^{\frac{2}{2}}$

Step 2.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.4.1

Cancel the common factor.

$b^{\frac{2}{2}}$

Step 2.4.2

Rewrite the expression.

$b^{1}$

Step 2.5

Simplify.

$b$