negative exponents

[jllera1]

Hello, Haven't done this in a while and the Prof. won't let us use a calculator. Need some help please with:

Question #1

9^7/2 = ?

Question #2

(-32)^2/5 = ?

Question #3

(x y^-2 z^3) ^-3
__________
(x^2 y^3 z^-4) The whole problem is to ^-3

 

[tkhunny]

Prof. won't let us use a calculator.

Good thing, too. You'll be missing the point.

9^7/2 = ?

You mean 9^(7/2)??
9^(7/2) = (9^(1/2))^7 = 3^7 = 2187

(-32)^2/5 = ?

Again, you mean (-32)^(2/5)??
(-32)^(2/5) = ([-32)^(1/5)]^2 = (-2)^2 = 4

(x y^-2 z^3) ^-3
__________
(x^2 y^3 z^-4) The whole problem is to ^-3

OK, I'll just ignore the notation on this one.

[(x^(1-2) * y^(-2-3) * z^(3-(-4))]^(-3)
[(x^(-1) * y^(-5) * z^7)]^(-3)
[(x^1 * y^5 * z^(-7))]^3
(x^3 * y^15 * z^(-21))

Just a piece at a time.

 

[jllera1]

More equation. Please help

Your great. This is my 1st time using this site.
Sorry, I'm not exactly sure how to put the problems, but here goes:

Question #1

(-2x)^(1/3) ^(4)
__________
(y)^(1/2)*(z)^(1/6) *Again the whole problem is to ^4


Question #2

(7-3x)^(1/2) + (3/2)x * (7-3x)^(-1/2)
________________________________
7-3x

Question #3

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

I'll do fine once I figure out the LCD - would it be 3(x-2)(x-1) ?



Question #4

Solve for i: A=P (1 + i/100)^2


I'm actually in calculus, but now our teacher is having us do some problems from my freshman year. For the life of me, I can't remember. I appreciate your help. These are just a few problems of about 70. What I'm doing is getting a few guides so that I can try and remember and then apply it to all of the others. Thank you so much