QuestionQuestion
Use the properties of exponents to determine the value of $a$ for the equation: $$\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}$$

Studdy Solution
Equate the combined expression to $x^a$ and solve for $a$:
$x^2 = x^a$
Since the bases are the same, equate the exponents:
$2 = a$
The value of $a$ is:
$$\boxed{2}$$