Question

49 ÷ 43 = sorry guys about the bad question its actually 4 to the 9th power divided by 4 to the third power

Answer 1

First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
  Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
  Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day