## Cutiepo0 Group Title how to I simplify p^(-2/3)/ p^(5/6)? 2 years ago 2 years ago

1. Cutiepo0 Group Title

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

2. MathsBoy Group Title

Subtract the second exponent from the first.

3. Abe_le_Babe Group Title

Subtract the exponents.

4. Cutiepo0 Group Title

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

5. MathsBoy Group Title

$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. Cutiepo0 Group Title

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

7. MathsBoy Group Title

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

8. MathsBoy Group Title

The answer I gave is definitely correct.