Algebra Examples

${(y^{4})}^{\frac{1}{6}}$

Step 1

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

$y^{4 (\frac{1}{6})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$y^{2 (2) \frac{1}{6}}$

Step 2.2

Factor $2$ out of $6$ .

$y^{2 \cdot 2 \frac{1}{2 \cdot 3}}$

Step 2.3

Cancel the common factor.

$y^{2 \cdot 2 \frac{1}{2 \cdot 3}}$

Step 2.4

Rewrite the expression.

$y^{2 (\frac{1}{3})}$

Step 3

Combine $2$ and $\frac{1}{3}$ .

$y^{\frac{2}{3}}$