Question #N572
Which of the following is equivalent to $x^{\frac{1}{2}} \cdot x^{\frac{2}{3}}$?
A. $x^{\frac{1}{6}}$
B. $x^{\frac{3}{5}}$
C. $x^{\frac{5}{6}}$
D. $x^{\frac{7}{6}}$
Correct Answer is: D
When multiplying exponents with the same base, you add the powers. Therefore, $x^{\frac{1}{2}} \cdot x^{\frac{2}{3}} = x^{\frac{1}{2} + \frac{2}{3}} = x^{\frac{7}{6}}$.