Algebra Examples

$3 b \frac{1}{2} \cdot b \frac{4}{3}$

Step 1

Multiply $b$ by $b$ by adding the exponents.

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Step 1.1

Move $b$ .

$3 (b \cdot b) \frac{1}{2} \cdot \frac{4}{3}$

Step 1.2

Multiply $b$ by $b$ .

$3 b^{2} \frac{1}{2} \cdot \frac{4}{3}$

$3 b^{2} \frac{1}{2} \cdot \frac{4}{3}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $3 b^{2} \frac{1}{2}$ .

$3 (b^{2} \frac{1}{2}) \cdot \frac{4}{3}$

Step 2.2

Cancel the common factor.

$3 (b^{2} \frac{1}{2}) \cdot \frac{4}{3}$

Step 2.3

Rewrite the expression.

$b^{2} \frac{1}{2} \cdot 4$

$b^{2} \frac{1}{2} \cdot 4$

Step 3

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

$\frac{b^{2}}{2} \cdot 4$

Step 4

Combine $\frac{b^{2}}{2}$ and $4$ .

$\frac{b^{2} \cdot 4}{2}$

Step 5

Cancel the common factor of $4$ and $2$ .

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Step 5.1

Factor $2$ out of $b^{2} \cdot 4$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $2$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

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

Step 5.2.4

Divide $b^{2} \cdot 2$ by $1$ .

$b^{2} \cdot 2$

$b^{2} \cdot 2$

$b^{2} \cdot 2$

Step 6

Move $2$ to the left of $b^{2}$ .

$2 b^{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$