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.                                    

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.