Simplify (5𝑞^−2𝑑^−9)/(7𝑞^−8𝑑^5)^−2

Question

and write your answer without using negative exponents.

Answer 1

(5𝑞^−2𝑑^−9)/(7𝑞^−8𝑑^5)^−2
= ( 5/q^2)(2/d^9) * (7q^-8 d^5)^2
= (5 / (q^2d^9)) * (49q^-16 d^10)
= 245d/q^18

https://www.wolframalpha.com/input/?i=simplify+%285q%5E%E2%88%922d%5E%E2%88%929%29%2F%287q%5E%E2%88%928d%5E5%29%5E%E2%88%922

Answer 2

5𝑞^−2𝑑^−9 = 5 / q^2d^9
7𝑞^−8𝑑^5)^−2 = q^16 /49d^10
now divide and you have

5/q^2d^9 * 49d^10 / q^16 = 245d / q^18