Algebra Examples

${(x^{6})}^{\frac{3}{4}}$

Step 1

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

$x^{6 (\frac{3}{4})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $6$ .

$x^{2 (3) \frac{3}{4}}$

Step 2.2

Factor $2$ out of $4$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Combine $3$ and $\frac{3}{2}$ .

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

Step 4

Multiply $3$ by $3$ .

$x^{\frac{9}{2}}$