Algebra Examples

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

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

Step 1

Apply the product rule to

3 x^{2}

$3 x^{2}$ .

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

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

Step 2

Raise

3

$3$ to the power of

3

$3$ .

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

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

Step 3

Multiply the exponents in

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

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

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Step 3.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

27 x^{2 \cdot 3}

$27 x^{2 \cdot 3}$

Step 3.2

Multiply

2

$2$ by

3

$3$ .

27 x^{6}

$27 x^{6}$

27 x^{6}

$27 x^{6}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$