Which of the following is not equal to (-5/4)⁴
a. (-5)⁴/4⁴
b. 5⁴/(-4)⁴
c. -5⁴/4⁴
d. (-5/4) × (-5/4) × (-5/4) × (-5/4)

Solution:

Given

(-5/4)⁴

We know that

(p/q)^m = p^m/q^m

Consider all the options

1. (-5/4)⁴= (-5)⁴/4⁴

2. (-5/4)⁴= 5⁴/(-4)⁴

3. (-5/4)⁴≠-5⁴/4⁴

4. (-5/4)⁴= (-5/4) × (-5/4) × (-5/4) × (-5/4)

Therefore, option (c) -5⁴/4⁴ is not equal to (-5/4)⁴.

✦ Try This: Cube of (-1/5) is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

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NCERT Exemplar Class 7 Maths Chapter 11 Problem 14

Which of the following is not equal to (-5/4)⁴: a. (-5)⁴/4⁴, b. 5⁴/(-4)⁴, c. -5⁴/4⁴, d. (-5/4) × (-5/4) × (-5/4) × (-5/4)

Summary:

Option (c) -5⁴/4⁴ is not not equal to (-5/4)⁴

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