Algebra Examples

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

Step 1

Apply the product rule to $3 a^{2}$ .

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

Step 2

Raise $3$ to the power of $3$ .

$2 (27 {(a^{2})}^{3})$

Step 3

Multiply the exponents in ${(a^{2})}^{3}$ .

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Step 3.1

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

$2 (27 a^{2 \cdot 3})$

Step 3.2

Multiply $2$ by $3$ .

$2 (27 a^{6})$

Step 4

Multiply $27$ by $2$ .

$54 a^{6}$