Q. 485.0( 1 Vote )

State whether the given statements are True or False.

x0 × x0 = x0 ÷ x0 is true for all non-zero values of x.

Answer :

Again we have another law of indices which is as follows:

am ÷ an = a (m-n)


Here in the question,


a = x


m = 0


n = 0


m – n = 0 – 0


= 0


x0 ÷ x0 = x0


According to Law of indices,


am × an = a (m + n)


Here in the question,


a = x


m = 0


n = 0


m + n = 0 + 0


= 0


x0 × x0 = x0


So the result obtained in both the question is same.


Hence statement is true.


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