Question

Rewrite using a single positive exponent.
6^5\6^-2

Answer 1

Explanation down below!

Since we have the equation 6^5/6^-2, we have to decide what would make this a positive exponent and also cancel out the division.

If we move the -2 up to the 5, it will make it a positive seven. It wouldn’t work the other way because it would make it a -7 instead.

Move the -2 up to the 5 on the top, and cancel the division

Your answer will be 6^7

Answer 2

`\frac{ {6}^(5) }{ {6}^( - 2) } = {6}^(5 - ( - 2))) = {6}^(5 + 2) = {6}^(7)`