Write in Standard Form (3x^3)^2

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

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Apply the product rule to $3 x^{3}$ .

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

Raise $3$ to the power of $2$ .

$9 {(x^{3})}^{2}$

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

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

$9 x^{3 \cdot 2}$

Multiply $3$ by $2$ .

$9 x^{6}$