Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power.

If we are to express the word problem to its mathematical expression,

(x^5/8) ^2/3

The concept to be used in order to answer this item is the product of the exponents. If,

(x^m) ^n

The final answer would be,

x^mn

If we apply the same principle to the equation above,

(x^5/8) ^ (2/3)

x^ (5/8) (2/3)

x^5/12

Thus, the most simplified form is equal to x^5/12.