Question

Can someone please explain how this was simplified? View screenshot please

Answer 1

I don't understand where the 1/36 came from

Answer 2

You did notice that x^2 was taken for 36 sec^2 theta in the denominator
The took the 36^{3/2) common, and 6 was already in the numerator.
Thus, what they had was 6/216
Which was simplified as 1/36

Answer 3

The took the 36^(3/2) common, and 6 was already in the numerator.

Could you possibly re-word this? Still a bit confused as to why they took 36^(3/2), yet the (3/2) remains in the next step. Thanks for your help

Answer 4

okay (I'm gonna write theta as t) the denominator expression was (36sec^2t -36)^3/2
then, it became [36(sec^2t-1)]^3/2
That is (36)^3/2*(sec^2t-1)^3/2

Answer 5

You are a scholar and a gentleman. Thank you thank you thank you

Answer 6

^I'm a woman!