generate a problem that asks me to find which numbers are equivalent to an fraction with the numerator and denomanator being the same number but the numerator has an exponent
Problem: Consider a fraction where the numerator and denominator are the same number raised to a certain exponent. Determine all the natural numbers that are equivalent to this fraction.
Example: Find all natural numbers that are equivalent to the fraction (5^3)/(5^3).
Solution: Since both the numerator and denominator are the same number (5) raised to the same exponent (3), the fraction simplifies to 1. Therefore, any natural number is equivalent to the fraction (5^3)/(5^3) as long as the denominator is not zero.