[2⁻¹ + 3⁻¹ + 4⁻¹]⁰ = ______ . Fill in the blank to make the statement true.

Solution:

Given, [2⁻¹ + 3⁻¹ + 4⁻¹]⁰ = ______ .

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

So, 4⁻¹ = 1/4

Similarly, 3⁻¹ = 1/3

2⁻¹ = 1/2

Now, 2⁻¹ + 3⁻¹ + 4⁻¹ = 1/2 + 1/3 + 1/4

= (6 + 4 + 3)/12

= 13/12

We know, a° = 1, where a ≠ 0

So, (13/12)⁰ = 1

Therefore, the required value is 1.

✦ Try This: [3⁻¹ + 4⁻¹ + 5⁻¹]⁰ = ______ . Fill in the blank to make the statement true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 45

[2⁻¹ + 3⁻¹ + 4⁻¹]⁰ = ______ . Fill in the blank to make the statement true.

Summary:

[2⁻¹ + 3⁻¹ + 4⁻¹]⁰ = 1 makes the statement true.

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☛ Related Questions:

• The standard form of (1/100000000) is _________. Fill in the blank to make the statement true
• The standard form of 12340000 is ______. Fill in the blank to make the statement true
• The usual form of 3.41 × 10⁶ is _______. Fill in the blank to make the statement true