Algebra Examples

${(3 (2 a) \frac{3}{2})}^{2}$

Step 1

Multiply $2$ by $3$ .

${(6 a \frac{3}{2})}^{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $6 a$ .

${(2 (3 a) \frac{3}{2})}^{2}$

Step 2.2

Cancel the common factor.

${(2 (3 a) \frac{3}{2})}^{2}$

Step 2.3

Rewrite the expression.

${(3 a \cdot 3)}^{2}$

${(3 a \cdot 3)}^{2}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $3$ by $3$ .

${(9 a)}^{2}$

Step 3.2

Apply the product rule to $9 a$ .

$9^{2} a^{2}$

Step 3.3

Raise $9$ to the power of $2$ .

$81 a^{2}$

$81 a^{2}$

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