Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

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Step 4.1

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

$9 x^{3 \cdot 2}$

Step 4.2

Multiply $3$ by $2$ .

$9 x^{6}$