Algebra Examples

${(x^{6})}^{\frac{2}{3}}$

Step 1

Apply the power rule and multiply exponents,

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

$x^{6 (\frac{2}{3})}$

Step 2

Cancel the common factor of

$3$ .

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Step 2.1

Factor

$3$ out of

$6$ .

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

Step 2.2

Cancel the common factor.

$x^{3 \cdot 2 \frac{2}{3}}$

Step 2.3

Rewrite the expression.

$x^{2 \cdot 2}$

$x^{2 \cdot 2}$

Step 3

Multiply

$2$ by

$2$ .

$x^{4}$

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