Rational Exponents

[Hockeyman]

Had a few questions on these problems:

1) {(g^3/2) + 3g^-1/2} / {g^1/2}

Not sure how you would attempt a problem like this.

2) {(s^2/5)(t^1/3)} X {(s^1/2)(t^1/2)}

I got (s^9/10) X (t^5/6) and i'm not sure where to go from here.

3) {(8^1/6) - (9^1/4)} / {(3^1/2) + (2^1/2)}

Again not sure how to do this one either, any help would be greatly appreciated.

 

[skeeter]

Had a few questions on these problems:

1) {(g^3/2) + 3g^-1/2} / {g^1/2}

Not sure how you would attempt a problem like this.

multiply each term in the numerator and denominator by g^1/2

2) {(s^2/5)(t^1/3)} X {(s^1/2)(t^1/2)}

I got (s^9/10) X (t^5/6) and i'm not sure where to go from here.

that's about as far as you can go with this one

3) {(8^1/6) - (9^1/4)} / {(3^1/2) + (2^1/2)}

Again not sure how to do this one either, any help would be greatly appreciated.

hints ...
8^1/6 = (2³)^1/6 = 2^1/2
9^1/4 = (3²)^1/4 = 3^1/2

now ... multiply numerator and denominator by 3^1/2 - 2^1/2

 

[Hockeyman]

Would the answer for number 3 be :

2 X (SqRt of 3) -5

 

[skeeter]

nope ...

\(\displaystyle 2\sqrt{6}-5\)