Hey there!
(3^2 * 5^4)^3
= (3 * 3 * 5 * 5 * 5 * 5)^3
= (9 * 25 * 25)^3
= (9 * 625)^3
= (5,625)^3
= 5,625 * 5,625 * 5,625
= 31,640,625 * 5,625
= 177,978,515,625
= 3^6 * 5^12
Therefore, your answer should be:
Option C. 3^6 * 5^12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)