Final answer:
To find the value of 'a' in x^3x^5/3 = x^a, we add the exponents (3 and 5/3) to get x^(14/3). Hence, 'a' is 14/3.
Step-by-step explanation:
The question asks us to evaluate the expression x^3x^5/3 = x^a in order to find the value of a. When you multiply powers with the same base, you add the exponents according to the rule x^(p+q) = x^p * x^q. Thus, we apply this rule to find the value of a.
By adding the exponents 3 and 5/3 we get:
x^3 * x^(5/3) = x^(3 + 5/3) = x^(9/3 + 5/3) = x^(14/3)
Therefore, the value of a in the given expression is 14/3, which is the equation in its simplest form.