of course. As long as it doesn't cause you to divide by 0
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Zero
x to the n divided by x to the n is 1. By the law of powers x to the power n divided by x to the power n is x to the power (n minus n), ie x to the power zero. Things which are equal to the same thing are equal to each other. Therefore x to the power zero = 1. (Unless x = zero!)
Only if the value of x is zero
0 ÷ x = 0 (unless x is known to have the value zero, as you cannot divide by zero).
x does not equal -1, because if x is minus 1, x plus 1 is zero and division by zero is not defined.