Simplify: (1/4)⁻² + (1/2)⁻² + (1/3)⁻².

Solution:

Given, the expression is (1/4)⁻² + (1/2)⁻² + (1/3)⁻².

We have to simplify the given expression.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

So, (1/4)⁻² = 1/(1/4)⁻²

= 4²

Similarly, (1/2)⁻² = 1/(1/2)⁻²

= 2²

(1/3)⁻² = 1/(1/3)⁻²

= 3²

Now, (1/4)⁻⁴ + (1/2)⁻² + (1/3)⁻² = 4² + 2² + 3²

= 16 + 4 + 9

= 20 + 9

= 29

Therefore, the required value is 29.

✦ Try This: Simplify: (1/5)⁻² + (1/4)⁻² + (1/3)⁻².

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 98(i)

Simplify: (1/4)⁻² + (1/2)⁻² + (1/3)⁻².

Summary:

On simplifying (1/4)⁻² + (1/2)⁻² + (1/3)⁻², we get 29 using the law of exponents a⁻ⁿ = 1/aⁿ

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