Simply:
-24d⁵z⁴/ 18d-⁵z⁴

write your answer with only positive exponents​

-24d^10/18

Step-by-step explanation:

-24d⁵z⁴/ 18d-⁵z⁴

The two z⁴ cancel out, and when dividing exponents you subract them.

d⁵-d-⁵=d^10

Put it all together and you get

-24d^10/18

Functions b) and d) have a minimum. other two have a maximum.
1st function: g(x)=4(  x²-  6  x+9  )+1= 4(  x  -  3  )² +1   - it is transformed to the  right and up from the parent function.
2nd function g(x)=8 (  x²  - 6 x + 9 ) -5 = 8  ( x - 3 )² - 5 - it is  transformed to the right and down.
answer: d)