Find the Product (7j^2)^3

${(7 j^{2})}^{3}$

Apply the product rule to $7 j^{2}$ .

$7^{3} {(j^{2})}^{3}$

Raise $7$ to the power of $3$ .

$343 {(j^{2})}^{3}$

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

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

$343 j^{2 \cdot 3}$

Multiply $2$ by $3$ .

$343 j^{6}$