Usually you can simplify that as 1. Any number except zero, raised to the power zero, is equal to one. However, please note that zero to the power zero is undefined, so some care must be taken about this in some cases.
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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!)
any number to the 0 power is 1, so the answer is 2.
x^0 + x=1+x=x+1
According to the rule of zero anything to the power of zero equals one(X^0=1). Any number over itself equals one, which is what the power of zero does (X^0=X/X). But the whole deal is if we replace the Xes with zeros it could be that it is zero (0^0=0/0). So according to the rule it says it is one, according the the math it is zero. It would be logical to assume that zero. But no mathematician has answered this so this answer seems full proof but possible that it can be poked.
x to the power 2 = (x to the power 3)/x; x to the power 1 = (x to the power 2)/x; x to the power 0 = (x to the power 1)/x. As x to the power 1 is merely x then the last expression is equivalent to x/x, ie 1.