Answer
$x^{\frac{1}{2}}$ or $\sqrt {x}$
Work Step by Step
Here, we have two exponents with the same base multiplied together. This means we add the exponents, keeping the common base:
$x^{\frac{2}{7}} \cdot x^{\frac{3}{14}}$
Add the exponents together:
$x^{\frac{2}{7} + \frac{3}{14}}$
Before we add the exponents, because they are in fraction form, we need to convert these fractions so their denominators are the same. The least common denominator for the two fractions is $14$. We need to convert $\frac{2}{7}$ to a fraction with $14$ as its denominator:
$x^{\frac{4}{14} + \frac{3}{14}}$
Add the two exponents together:
$x^{\frac{7}{14}}$
Reduce the fraction in the exponent:
$x^{\frac{1}{2}}$ or $\sqrt {x}$
