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

Solution:

The correct option is (d)

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

(-5/7)^-5

= (-7/5)⁵ = (-1)⁵(7/5)⁵ = - (7/5)⁵

✦ Try This: (-4/13)^-9 is equal to (a) -(13/4)⁹, (b) (13/4)⁹, (c) (-13/-4)⁹, (d) (4/13)^-9

The correct option is (a)

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

(-4/13)^-9 = (-13/4)⁹ = (-1)⁹(13/4)⁹ = -(13/4)⁹

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 18

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

Summary:

(-5/7)^-5 is equal to -(7/5)⁵

☛ Related Questions:

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