Simplify (3(2a)3/2)^2

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

Step 1

Multiply $2$ by $3$ .

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

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6 a$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Simplify the expression.

Multiply $3$ by $3$ .

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

Apply the product rule to $9 a$ .

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

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

$81 a^{2}$

$81 a^{2}$

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