Final answer:
The square root of 5 squared (√(5²)) is simply 5. It can be expressed with a rational exponent as 5 to the power of 1 (5¹), since the squaring and square root operations cancel each other out. None of the options provided correctly represents this expression.
Step-by-step explanation:
Rewriting √(5²) with a rational exponent means expressing the square root of a number in terms of a power. According to the rules of exponents, a square root of a number can be written as the number raised to the power of 1/2. Therefore, √(5²) is equal to 5 raised to the power of 2/2, as squaring and taking the square root are opposite operations that cancel each other out.
Thus, simplifying 2/2 gives us 1, and the expression becomes 5¹, which is simply 5. None of the options provided A) 5¹/³, B) 5²/³, C) 5³/², D) 5´/³ represent the correct expression. If we had to conform to the options provided, the closest option, and technically correct if complete, would be B) 5²/³ but this assumes that there was an error in the given options, as the correct answer should be 5¹ or simply 5, which does not appear among the choices.