If x be any non-zero integer, then x^-1 is equal to
(a) x
(b) 1/x
(c) -x
(d) -1/x

Solution:

The correct option is (b)

Because by using laws of indices, For any non-zero integer a, a^-m = 1/a^m

✦ Try This: The value of 2^-3 is equal to (a) 1/8, (b) 8, (c) -1/8, (d) - 8

The correct option is (a)

Using laws of indices, For any non-zero integer a, a^-m = 1 / a^m

2^-3 = 1/2³ = 1/8

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 14

If x be any non-zero integer, then x^-1 is equal to (a) x, (b) 1/x, (c) -x, (d) -1/x

Summary:

If x be any non-zero integer, then x^-1 is equal to 1/x

☛ Related Questions:

• 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, . . . .
• Which of the following is equal to (-3/4)-3 (a) (3/4)-3, (b) (3/4)3, (c) (4/3)3, (d) (-4/3)3