## anonymous 5 years ago how to I simplify p^(-2/3)/ p^(5/6)?

1. anonymous

I have the answer for this one -> 1/p^(1/6) but I don't know how to get to that answer...

2. anonymous

Subtract the second exponent from the first.

3. anonymous

Subtract the exponents.

4. anonymous

that doesn't get me to the right answer...

5. anonymous

$p^{-\frac{2}{3}} / p^{\frac{5}{6}} = p^{-\frac{2}{3} - \frac{5}{6}}$$=p^{-\frac{3}{2}} = 1/{p^{\frac{3}{2}}}$ That's what I get.

6. anonymous

okay. that's not the right answer but it helped me get it. thanks

7. anonymous

Coincidentally, this gives the answer you have.. $p^\frac{2}{3}/ p^\frac{5}{6}$

8. anonymous

The answer I gave is definitely correct.