The given expression is
(x^5)^3 * x^5/x^4
We would apply the following rules of exponents
(a^b)^c = a^bc
a^b * a^c = a^(b + c)
a^b / a^c = a^(b - c)
By applying the first rule,
(x^5)^3 becomes x^(5 * 3) = x^15
By applying the third rule,
x^5/x^4 becomes x^(5 - 4) = x^1 = x
The expression becomes
x^15 * x
Finally, we would apply the second rule. The final expression would be
x^(15 + 1)
= x^16