Final answer:
To simplify 5²/⁵, we subtract the exponent of the divisor from the exponent of the dividend since they have the same base. The resulting exponent is 1. Thus, the simplified form is 5¹/⁵ or simply 5.
Correct option is a) 5¹/⁵
Step-by-step explanation:
The question asks what the simplified form of 5²/⁵ is. When simplifying an expression with exponents, we can use the rule that when dividing powers with the same base, we subtract the exponents. Therefore:
5²/⁵ = 5² * 5⁻⁵
Now, we add the exponents (2) + (-5/5) = 2 - 1 = 1. So the simplified form is 5¹, which is just 5.
Hence, the correct option that represents this simplified form is:
a) 5¹/⁵