Question

http://prntscr.com/93q1vo

Answer 1

@Directrix

Answer 2

hint:
if \(a>b\) then we have \(a/b>1\), so we can write:
\[\huge {3^{\frac{a}{b}}} > {3^1}\]

Answer 3

hint:
In general, we can write:
\[\huge \sqrt[n]{{{x^m}}} = {x^{\frac{m}{n}}}\]

Answer 4

is the first option correct as well?

Answer 5

yes! first option is a correct option

Answer 6

thnx

Answer 7

:)

Answer 8

I agree that the first option is correct by definition of the radical meaning of 3^(a/b).

Answer 9

Nowhere is it said in the problem that a and b are positive

Consider 3 ^( (0/(-1) ) = 3^0 = 1.

0 > -1 but 3^ (a/b) < 3

Also, -3>-4 but 3^ ( (-3) / (-4) ) = 3^(3/4) which is also less than 3.

For that reason, I would rule out options B and C. Option D is obviously wrong if option A is correct.

Bottom Line: Option A is the only correct answer.

@Diana.xL I suggest you get a third opinion before submitting an answer to this.

Answer 10

ok thnx