- #1
username12345
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Homework Statement
Simplify [tex]\frac{x^2 - \sqrt{x}}{\sqrt{x^5}} [/tex]
Homework Equations
Unsure
The Attempt at a Solution
Tried to factorise the numerator and denominator. Not sure how to proceed given the subtraction in the numerator. Best effort so far:
[tex]
\frac{x^2}{\sqrt{x^5}} - \frac{\sqrt{x}}{\sqrt{x^5} }} =
\frac{x^2}{x^{ \frac{5}{2}}} - \frac{x^{\frac{1}{2}}} {x^\frac{5}{2}} =
x^{ -\frac{1}{2}} - x^{-2} =
\frac{1}{x^2} - \frac{1} {\sqrt{x}}
[/tex]
which, doesn't seem like much progress from the original equation