The reciprocal of (2/5)^-1 is
(a) 2/5
(b) 5/2
(c) -5/2
(d) -2/5

Solution:

The Correct answer is (a)

Given, reciprocal of (2/5)^-1

By using laws of indices (a/b)-m = (b/a)m

(2/5)^-1 = 5/2

Reciprocal of 5/2

= 1/(5/2)

= 2/5

✦ Try This: The reciprocal of (-3/4)^-1 is

(a) 3/4, (b) -4/3, (c) 4/3, (d) -3/4

The Correct answer is (d)

Given, reciprocal of (-3/4)^-1

= 1/(-3/4) We have by using laws of indices (a/b)-m = (b/a)m

Reciprocal = -4/3

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 7

The reciprocal of (2/5)^-1 is (a) 2/5, (b) 5/2, (c) -5/2, (d) -2/5

Summary:

The reciprocal of (2/5)^-1 = 2/5

☛ Related Questions:

• The multiplicative inverse of 10-100 is (a) 10, (b) 100, (c) 10100, (d) 10-100
• The value of (-2)2 × 3 - 1 is (a) -32, (b) -64, (c) 32, (d) 64
• The value of (-2/3)4 is equal to (a) 16/81, (b) 81/16, (c) -16/81, (d) 81/-16