x^-2-x^-3/2x simply
The expression x^-2 - x^-3/2x can be simplified as follows:
First, let's rewrite the expression using positive exponents:
1/x^2 - 1/(x^(3/2) * x)
Next, let's simplify the second term:
1/x^2 - 1/(x^(5/2))
To combine the terms, we need a common denominator. In this case, the common denominator is x^2:
(x^(5/2) - x^2)/(x^2 * x^(5/2))
Simplifying the numerator:
(x^(5/2) - x^2)/x^(9/2)
So, the simplified expression is (x^(5/2) - x^2)/x^(9/2).