Simplify: [(4/3)⁻² - (3/4)²]⁻²

Solution:

Given, the expression is [(4/3)⁻² - (3/4)²]⁻²

We have to simplify the expression.

(3/4)² = 9/16

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

(4/3)⁻² = 1/(4/3)²

= 1/(16/9)

= 9/16

(4/3)⁻² - (3/4)² = 9/16 - 9/16

= 0

Now, [(4/3)⁻² - (3/4)²]⁻² = [0]⁻²

= 0

Therefore, the simplified value is 0.

✦ Try This: Simplify: [(4/5)⁻² - (5/4)²]⁻²

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 180(2)

Simplify: [(4/3)⁻² - (3/4)²]⁻²

Summary:

The simplified value of [(4/3)⁻² - (3/4)²]⁻² is 0 using the law of exponents a⁻ⁿ = 1/aⁿ

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