Hi!
The first step I would take is to make the question easier for ourselves, by splitting up the fraction into three parts. Since they are multiplied, you can split the three parts (32, x, y) into multiple parts by saying 32 ^ 3/5 times (x^10) ^ 3/5 and so on.
So let's take this part by part. 32 to the power of 3/5, is basically 32 to the fifth root, and then to the power of 3. The fifth root of 32 is 2, because 2•2•2•2•2 = 32. Now to cube 2, or raise 2 to the power of 3. 2 ^ 3 is 8.
Next part. (x^10) ^ 3/5 is basically x ^ (10•3/5). 10 • 3/5 = 30/5 = 6. So this part is x ^ 6.
Last part. y ^ 5 (technically 1 / y ^ 5 but we don't need to worry about that in this case) ^ 3/5. Again, just multiply 5 with 3/5 to get y ^ 3 as your answer. So all together, your answer is:
Hope this helped!