If y be any non-zero integer, then y⁰ is equal to
(a) 1
(b) 0
(c) -1
(d) Not defined

Solution:

The correct option is (a)

It is by definition of the laws of exponents that any non zero integer raised by power zero is always one.

✦ Try This: Let x = 0^m for any non zero and non negative integer m then the value of x

(a) Cannot be calculated, (b) Zero, (c) The integer m itself, (d) None of these

The correct option is (b)

x = 0^m, then the value of x for any non zero and non negative integer m is zero because zero when multiplied any number of times the product is zero.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 13

If y be any non-zero integer, then y⁰ is equal to (a) 1, (b) 0, (c) -1, (d) Not defined

Summary:

If y be any non-zero integer, then y⁰ is equal to 1

☛ Related Questions:

• If x be any non-zero integer, then x-1 is equal to (a) x, (b) 1/x, (c) -x, (d) -1/x
• If x be any integer different from zero and m be any positive integer, then x-m is equal to (a) xm, . . . .
• If x be any integer different from zero and m, n be any integers, then (xm)n is equal to (a) xm + n, . . . .