Algebra Examples

$a \frac{2}{3} \cdot a \frac{3}{2}$

Step 1

Multiply $a$ by $a$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $a$ .

$a \cdot a \frac{2}{3} \cdot \frac{3}{2}$

Step 1.2

Multiply $a$ by $a$ .

$a^{2} \frac{2}{3} \cdot \frac{3}{2}$

$a^{2} \frac{2}{3} \cdot \frac{3}{2}$

Step 2

Combine $a^{2}$ and $\frac{2}{3}$ .

$\frac{a^{2} \cdot 2}{3} \cdot \frac{3}{2}$

Step 3

Combine.

$\frac{a^{2} \cdot 2 \cdot 3}{3 \cdot 2}$

Step 4

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{a^{2} \cdot 2 \cdot 3}{3 \cdot 2}$

Step 4.2

Rewrite the expression.

$\frac{a^{2} \cdot 3}{3}$

$\frac{a^{2} \cdot 3}{3}$

Step 5

Cancel the common factor of $3$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

$\frac{a^{2} \cdot 3}{3}$

Step 5.2

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

$a^{2}$

$a^{2}$

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