(-7/5)^-1 is equal to
(a) 5/7
(b) -5/7
(c) 7/5
(d) - 7/5

Solution:

The correct option is (b)

Using the laws of indices (a/b)^-m = (b/a)^m

(-7/5)^-1 = (-5/7)¹ = -(5/7)

✦ Try This: (-7/-3)^-1 is equal to (a) 3/7, (b) -3/7, (c) 7/3, (d) - 7/3

The correct option is (a)

Using the laws of indices (a/b)^-m = (b/a)^m

(-7/-3)^-1 = (-3/-7)¹ = (3/7)

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 19

(-7/5)^-1 is equal to (a) 5/7, (b) -5/7, (c) 7/5, (d) - 7/5

Summary:

(-7/ 5)^-1 is equal to -(5/7)

☛ Related Questions:

• (-9)3 ÷ (-9)8 is equal to (a) (9)5, (b) (9)-5, (c) (-9)5, (d) (-9)-5
• For a non-zero integer x, x7 ÷ x12 is equal to (a) x5, (b) x19, (c) x-5, (d) x-19
• For a non-zero integer x, (x4)-3 is equal to (a) x12, (b) x-12, (c) x64, (d) x-64