anonymous one year ago Did I choose the right answer?

1. anonymous

2. anonymous

3. anonymous

why not just solve it? see what you get

4. anonymous

$\frac{5^{1/3} 5^{1/2}}{5^{5/3}} = \frac{5^{1/3 + 1/2}}{5^{5/3}} = 5^{(1/3)+(1/2) -(5/3)}$

5. anonymous

How did you get that 1/2?

6. anonymous

as dumbcow pointed out, $$\large { a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}} }$$

7. anonymous

I get that and I did do that on my paper except why is there a 5 1/2 ? when all there is a is a radical 5

8. anonymous

hmmm those are meant to be exponents

9. anonymous

$\sqrt{a} = \sqrt[2]{a} = a^{1/2}$ for square roots the "2" is left out

10. anonymous

Is there always a 2 when there is nothing written?

11. anonymous

yes

12. anonymous

yap

13. anonymous

Oh that clears it up real nice then

14. anonymous

Well than you very much to both of you :) I wish I could give a medal to both of you, but I'll give one to the one with less medals Thanks again!