Simplify

3^2 x 5^-3 x 2
Divided by
2^-8 x 3^5

So confused!!

3^2 x 5^-3 x 2 = 2*3^2/5^3

2^-8 x 3^5 = 3^5/2^8

dividing (multiplying by the reciprocal) we have

2*3^2/5^3 * 2^8/3^5
= 2^9 / (5^3 * 3^3)
= 2^9 / 15^3
= 8^3/15^3
= (8/15)^3