Question

simplify: x(1-2x)^(-3/2)+(1-2x)^(-1/2) PLEASE SHOW STEPS!!

Answer 1

this looks like a derivative?

Answer 2

if you really want to simplify, it is probably best to get rid of the negative exponents so we can see what this is

Answer 3

\[\frac{x}{\sqrt{(1-2x)^3}}+\frac{1}{\sqrt{1-2x}}\] is what you really have and if you want to add them you have to give them a common denominator that would be
\[\sqrt{1-2x}^3\] and you do that by multiplying the second fraction top and bottom by
\[1-2x\]

Answer 4

so you get
\[\frac{x}{\sqrt{(1-2x)^3}}+\frac{1}{\sqrt{1-2x}}\times \frac{1-2x}{1-2x}\]
\[=\frac{x+1-2x}{\sqrt{(1-2x)^3}}=\frac{1-x}{\sqrt{(1-2x)^3}}\]\]