Question

If (4-9x)⁻1/2, find the value of (125)¹/2 in fraction form.

a) 5/3
b) 3/5
c) -5/3
d) -3/5

Answer 1

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.