G
Guest
Guest
Hey there;
Entirely new here, needing some help understanding a few things... If anyone out there can be of help that'd be wonderful.
I'm doing this by correspondence and I came across something in the notes & lession portion concerning Rational Exponents and I'm sort of confused.
1) The first two questions I understood, though I'm not entirely sure why the question (x^2)^-3/2 is saying that to work out the answer you have to have (sq. root x^2)-3 whereas the above question which was (x^8)^-1/2 was worked out like this:
x^8^(-1/2)
x^-8/2
x^-4
1/x^4 ---> All of that I get...
Though, I'm not sure why the other question (x^2)^-3/2 is worked out as followed:
(sq. root x2)^-3
x^-3
=1/x^3
(Not sure how or even why they put the sq. root in there?)
2) My second dilemnia concerns trying to find the volume of a prism by using the area of a triangle and the length of the prism which is something like this:
(1/2[4sq.root 3][2 sq.root 5])(3 sq. root 15)
(4/2 sq. root 3 x 2/2 sq. root 5) (3. sq. root 15)
etc., etc.,
=180 m^3
This is the part where I am stuck, it says that the its. (2x2 sq. root 15) in the first brackets; though if 2/2 is 1.. where are they getting the 2nd 2 from?? Don't you multiple the 1/2 to the two remaining brackets within the 1st bracket?
If I'm completely brainless then my sincerest apologizes, I'm just trying to make some sense out of it. So, if anyone could help me that'd be great.
Entirely new here, needing some help understanding a few things... If anyone out there can be of help that'd be wonderful.
I'm doing this by correspondence and I came across something in the notes & lession portion concerning Rational Exponents and I'm sort of confused.
1) The first two questions I understood, though I'm not entirely sure why the question (x^2)^-3/2 is saying that to work out the answer you have to have (sq. root x^2)-3 whereas the above question which was (x^8)^-1/2 was worked out like this:
x^8^(-1/2)
x^-8/2
x^-4
1/x^4 ---> All of that I get...
Though, I'm not sure why the other question (x^2)^-3/2 is worked out as followed:
(sq. root x2)^-3
x^-3
=1/x^3
(Not sure how or even why they put the sq. root in there?)
2) My second dilemnia concerns trying to find the volume of a prism by using the area of a triangle and the length of the prism which is something like this:
(1/2[4sq.root 3][2 sq.root 5])(3 sq. root 15)
(4/2 sq. root 3 x 2/2 sq. root 5) (3. sq. root 15)
etc., etc.,
=180 m^3
This is the part where I am stuck, it says that the its. (2x2 sq. root 15) in the first brackets; though if 2/2 is 1.. where are they getting the 2nd 2 from?? Don't you multiple the 1/2 to the two remaining brackets within the 1st bracket?
If I'm completely brainless then my sincerest apologizes, I'm just trying to make some sense out of it. So, if anyone could help me that'd be great.