Question

I anyone up to helping me to solve a quadratic multiplication with no negative exponents in the answer, if so please help.

(a^-2 c^1/5)^2/3

Answer 1

start with
\[a^{-2\times \frac{2}{3}}c^{\frac{1}{5}\times \frac{2}{3}}\]

Answer 2

I have and got a^2/3 c 2/15 am I close?

Answer 3

not quite

Answer 4

\[-2\times \frac{2}{3}=-\frac{4}{3}\]

Answer 5

\[\large a^{-\frac{4}{3}}c^{\frac{2}{15}}\]

Answer 6

Ok, so my answer is a^43/c^2/15

Answer 7

Since the answer cannot have negative exponents I have to write it as a fraction correct?

Answer 8

so I think the answer is a^4/3/c^2/15

Answer 9

oh no!

Answer 10

writing with positive exponents does not mean to change the minus sign to a plus sign
it means to put it in the denominator!

Answer 11

\[\large \frac{c^{\frac{2}{15}}}{a^{\frac{4}{3}}}\]

Answer 12

Ok, I think I understand now. I am being asked to write the answer in simplest form how do I do that? The writing is so small is that c^1/15 or c^2/15 over a ^4/2 ir ^4/3

Answer 13

Never mind, I think I have it thank you!

Answer 14

Here is your medal!