1) 3^16:(3^5)^3 = 3^16:3^15 = 3^(16-15) = 3^1 = 3
2) (5^7)^3:(5^4)^5 = 5^(73):5^(45) = 5^21:5^20 = 5^(21-20) = 5^1 = 5
3) 6^8(6^5)^4:6^25 = 6^86^(54):6^25 = 6^86^20:6^25 = 6^(8+20-25) = 6^3 = 216
4) 49^2:7^3 = 7^4:7^3 = 7^(4-3) = 7^1 = 7
5) 8^14(8^4)^6 = 8^148^(46) = 8^148^24 = 8^(14+24) = 8^38
6) 9^581^6/3^30 = 3^103^12/3^30 = 3^(10+12-30) = 3^-8 = 1/3^8 = 1/6561
1) 3^16:(3^5)^3 = 3^16:3^15 = 3^(16-15) = 3^1 = 3
2) (5^7)^3:(5^4)^5 = 5^(73):5^(45) = 5^21:5^20 = 5^(21-20) = 5^1 = 5
3) 6^8(6^5)^4:6^25 = 6^86^(54):6^25 = 6^86^20:6^25 = 6^(8+20-25) = 6^3 = 216
4) 49^2:7^3 = 7^4:7^3 = 7^(4-3) = 7^1 = 7
5) 8^14(8^4)^6 = 8^148^(46) = 8^148^24 = 8^(14+24) = 8^38
6) 9^581^6/3^30 = 3^103^12/3^30 = 3^(10+12-30) = 3^-8 = 1/3^8 = 1/6561