Precalculus Examples

$x^{\frac{7}{6}} x^{\frac{2}{6}}$

Step 1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{\frac{7}{6} + \frac{2}{6}}$

Step 2

Combine the numerators over the common denominator.

$x^{\frac{7 + 2}{6}}$

Step 3

Add $7$ and $2$ .

$x^{\frac{9}{6}}$

Step 4

Cancel the common factor of $9$ and $6$ .

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Step 4.1

Factor $3$ out of $9$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $6$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

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