Q48 of 111 Page 337

State whether the given statements are True or False.

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

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.


More from this chapter

All 111 →
46

State whether the given statements are True or False.

 47

State whether the given statements are True or False.

(10 + 10)10 = 1010 + 1010

 49

State whether the given statements are True or False.

In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10.

 50

State whether the given statements are True or False.

42 is greater than 24.