How do I go about solving the following problems:

Use laws of exponents to simplify:

5^3/5 * 5^5/10

Multiply

(w-g) (w+g) (w^2-g^2)

Thank you!

Well first you must simplify so it goes something like this I believe.
5^3/5*5^5/10
75/5(3125/10)
15(312.5)
Multiply that and get your answer.

I think that that is right.

I am not good with problems like the next one though sorry.

5^8/50 = 5^6/2

(w^2 - g^2)(w^2 - g^2) =

w^4 - 2w^2g^2 + g^4