For any two non-zero rational numbers x and y, x⁴ ÷ y⁴ is equal to
(a) (x ÷ y)⁰
(b) (x ÷ y)¹
(c) (x ÷ y)⁴
(d) (x ÷ y)⁸

Solution:

The correct option is (c)

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

∴ x⁴ ÷ y⁴ = (x ÷ y)⁴

✦ Try This: For any two non-zero rational numbers x and y, p⁸ ÷ q⁸ is equal to (a) (p ÷ q)⁰, (b) (p ÷ q)¹, (c) (p ÷ q)⁴, (d) (p ÷ q)⁸

The correct option is (d)

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

∴ p⁸ ÷ q⁸ = (p ÷ q)⁸

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 29

For any two non-zero rational numbers x and y, x⁴ ÷ y⁴ is equal to (a) (x ÷ y)⁰, (b) (x ÷ y)¹, (c) (x ÷ y)⁴, (d) (x ÷ y)⁸

Summary:

For any two non-zero rational numbers x and y, x⁴ ÷ y⁴ is equal to (x ÷ y)⁴

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