Final answer:
The value of (125)¹/2 in fraction form is 5^(3/2). None of the given options are correct.
Step-by-step explanation:
To find the value of (125)¹/2 in fraction form, we can rewrite it as a fractional exponent:
(125)¹/2 = 125^(1/2)
Since 125 is equal to 5^3, we can rewrite the expression as:
(5^3)^(1/2)
Using the exponent property (a^m)^n = a^(m*n), we can simplify further:
(5^3)^(1/2) = 5^(3*(1/2)) = 5^(3/2)
Therefore, the value of (125)¹/2 in fraction form is 5^(3/2). This can be expressed as a fraction by writing the exponent as a numerator and the denominator as 2:
5^(3/2)
Thus, none of the given options are correct.