(3/4)5÷ (5/3)⁵ is equal to
(a) [(3/4) ÷ (5/3)]⁵
(b) [(3/4) ÷ (5/3)]¹
(c) [(3/4) ÷ (5/3)]⁰
(d) [(3/4) ÷ (5/3)]¹⁰

Solution:

The correct option is (a)

By laws of indices we have (a^m ÷ b^m) = (a ÷ b)^m

∴ (3/4)⁵ ÷ (5/3)⁵ = [(3/4)÷ (5/3)]⁵

✦ Try This: (7/6)⁸ ÷ (3/11)⁸ is equal to (a) [(7/6)÷ (3/11)]^-8, (b) [(7/6)÷ (3/11)]¹⁶, (c) [(7/6)÷ (3/11)]⁸, (d) [(6/7)÷ (11/3)]⁸

The correct option is (c)

By laws of indices we have (a^m ÷ b^m)= (a ÷ b)^m

∴ (7/6)⁸ ÷ (3/11)⁸

= [(7/6)÷ (3/11)]⁸

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 28

(3/4)⁵ ÷ (5/3)⁵ is equal to (a) [(3/4)÷ (5/3)]⁵, (b) [(3/4)÷ (5/3)]¹, (c) [(3/4)÷ (5/3)]⁰, (d) [(3/4)÷ (5/3)]¹⁰

Summary:

(3/4)⁵ ÷ (5/3)⁵ is equal to [(3/4)÷ (5/3)]⁵

☛ Related Questions:

• 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
• The value of (7-1 - 8-1)-1 - (3-1 - 4-1)-1 is (a) 44, (b) 56, (c) 68, (d) 12