When thinking of exponents, you can always write them in the form
x ^ (raise / root)
So, if you are raising x to a power and also taking a root of it, you can write it like a fraction instead!
Lets look at each term!
75 is raised to the first power and we are taking the square (2) root. So, we can write it as
75^(1/2)
If we think of square factors of 75, we know that 75 = 25*3. Thus, we can write this as
75^(1/2) = (25*3)^(1/2) = 25^(1/2) * 3^(1/2) = 5 * 3^(1/2) = 5 sqrt(3)
x is raised to the fifth power and we are taking the square (2) root. So, we can write it as
x^(5/2)
This can be simplified. Lets write this as
x^(4/2 + 1/2) = x^(4/2) * x^(1/2) = x^2 * x^(1/2) = x^2 sqrt (x)
y is raised to the 12th power and we are taking the square (2) root. So, we can write it as
y^(12/2)
This fraction can be simplified to
y^(6/1) = y^6
Combining this all together, we get :
5x^2y^6 sqrt (3x)
