Question

Answer 1

`c)` `(2^12 * 3^5 - 4^6 * 9^2)/((2^2 * 3)^6) - (5^10 * 7^3 - 25^5 * 49^2)/((125 * 7)^3 + 5^9 * 14^3)`

`= (2^12 * 3^5 - (2^2)^6 * (3^2)^2)/((2^2)^6 * 3^6) - (5^10 * 7^3 - (5^2)^5 * (7^2)^2)/((5^3)^3 * 7^3 + 5^9 * (2*7)^3)`

`= (2^12 * 3^5 - 2^12 * 3^4)/(2^12 * 3^6) - (5^10 * 7^3 - 5^10 * 7^4)/(5^9 * 7^3 + 5^9 * 2^3 * 7^3)`

`= (2^12 * 3^4 * (3 - 1))/(2^12 * 3^6) - (5^10 * 7^3 * (1 - 7))/(5^9 * 7^3 * (1 + 2^3))`

`= 2/(3^2) - (5 * (-6))/9`

`= 2/9 + 30/9`

`= 32/9`