33. Simplify a^5/a^3

Question

a^2?
Because I think when it's like that you subtract the two powers.

Simplify sqrt of a^2
How do you do this?

44. Solve 1/2 * [3/4 + 1/2]

1/2*5/4
5/8?

47. Solve 1/2*[3/4divided by 1/2]

3/4?

49. Solve sqrt of -100
a. sqrt of -100
b. -10
c. 10
d. No answer
C? I think C because I don't think there can be a negative inside a square root, but I'm not sure

Answer 1

MC; sqrt of a^2 is a, by definition.
49. THe correct answer is 10sqrt(-1), or as some write it, 10i
a. is the best choice, but dumb.
47. yes.
44. yes

Answer 2

I'm not sure what you mean by the first one-33

Answer 3

I mean: sqrt a^2= a by definition.

sqrt 16 = 4