1) 64^2 4^7 / 16^6 = (2^6)^2 (2^2)^7 / (2^4)^6 = 2^12 * 2^14 / 2^24 = 2^(12+14-24) = 2^2 = 4.
2) (9/10)^6 (1 1/9)^8 = ((9/10)^6) (10/9)^8 = (9^6 / 10^6) (10^8 / 9^8) = 9^6 10^2 / 9^2 = 9^4 10^2 = 6561 100 = 656100.
1) 64^2 4^7 / 16^6 = (2^6)^2 (2^2)^7 / (2^4)^6 = 2^12 * 2^14 / 2^24 = 2^(12+14-24) = 2^2 = 4.
2) (9/10)^6 (1 1/9)^8 = ((9/10)^6) (10/9)^8 = (9^6 / 10^6) (10^8 / 9^8) = 9^6 10^2 / 9^2 = 9^4 10^2 = 6561 100 = 656100.