Final Answer:
(xⁿ) can be represented as a polynomial, exponential form, repeated multiplication, power function, radicand, factorial notation, or base-b notation.
Step-by-step explanation:
(xⁿ) can be represented in various ways, including:
Polynomial form: x, x², x³, ..., xⁿ
Exponential form: aˣ, where a is any constant and x is a positive integer
Repeated multiplication: x ⋅ x ⋅ x ⋅ ... ⋅ x (n times)
Power function: f(x) = xⁿ, where f(x) represents the value of the function at a given input x
Radicand (in the context of roots): ∛xⁿ, where n is a multiple of 3, representing the cube root of xⁿ
Factorial notation (for xⁿ! when n is a non-negative integer): x!, representing the product of all positive integers from 1 to x
Base-b notation (when x is an integer and b is a positive integer greater than 1): bⁿ, representing the representation of x using base b