Algebra Examples

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

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 $2 x^{2}$ .

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

Step 3

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

$8 {(x^{2})}^{3}$

Step 4

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

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Step 4.1

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

$8 x^{2 \cdot 3}$

Step 4.2

Multiply $2$ by $3$ .

$8 x^{6}$