Question

how to I simplify p^(-2/3)/ p^(5/6)?

Answer 1

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

Answer 2

Subtract the second exponent from the first.

Answer 3

Subtract the exponents.

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

The answer I gave is definitely correct.