simplify expression

[smsuski]

Hi,
I'm not sure where to go next on these 2 problems.

1) sqrtx times x^-2/x^2 *x^-3 Ok this is where I started
(Sqrtx/x^2)*(x^3/x^2)

Next I have x^3 *sqrtx/x^4 then this sqrtx/x now can this be simplified more,
because I'm not sure how to handle the sqrtx

2) the other one is 1/(x+3/x) I think I can do this (1/x) + (x/3) which would be

(1+x/x+3) Am I on the right track

Thanks for all help
Jason S.

 

[Daniel_Feldman]

I'm not sure about number oone, because I can't understand the problem. Can you please repost it using parentheses as necessary?

As for problem two, think about this:

Does 1/(2+3)=(1/2)+(1/3)? I think not!


1/(x+3/x)

Find the least common denominator in the parenthesis

=1/((x^2+3)/x)

=x/(x^2+3)

 

[smsuski]

Ok the 1st restated

((squareroot of x) * (x^-2))/ (x^2 * x^-3) now I did this next

((squareroot of X) * (X^3))/ (X^2 * X^2) next

((squareroot of x) * (x^3) / x^4 which I have

(Squareroot of X)/ X If I'm on the right track can this be simplifed more

 

[stapel]

Is there some particular significance to your switching back and forth between the two variables "x" and "X" in (1)? What are the instructions for this exercise?

Thank you.

Eliz.

 

[Denis]

Ok the 1st restated
((squareroot of x) * (x^-2))/ (x^2 * x^-3) now I did this next
((squareroot of X) * (X^3))/ (X^2 * X^2) next
((squareroot of x) * (x^3) / x^4 which I have
(Squareroot of X)/ X If I'm on the right track can this be simplifed more

Yes, good job. Show this way: sqrt(x) / x
And that can be further simplifed to sqrt(1 / x)
[remember that sqrt(x) = x^(1/2)]

 

[smsuski]

Thanks for the help.
There is no difference between "x" and "X" other than I got carried away with
Capital key
Thanks
Jason S.