Pre-Algebra Examples

${(x^{\frac{5}{12}})}^{2}$

Step 1

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

$x^{\frac{5}{12} \cdot 2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $12$ .

$x^{\frac{5}{2 (6)} \cdot 2}$

Step 2.2

Cancel the common factor.

$x^{\frac{5}{2 \cdot 6} \cdot 2}$

Step 2.3

Rewrite the expression.

$x^{\frac{5}{6}}$