4⁰ + 5⁰ + 6⁰ = (4 + 5 + 6)⁰. State whether the given statement is true or false

Solution:

Given, 4⁰ + 5⁰ + 6⁰ = (4 + 5 + 6)⁰.

We have to determine if the given statement is true or false.

LHS : Considering 4⁰ + 5⁰ + 6⁰,

We know, a⁰ = 1

So, 4⁰ = 1,

5⁰ = 1

6⁰ = 1

4⁰ + 5⁰ + 6⁰ = 1 + 1 + 1 = 3

RHS : (4 + 5 + 6)⁰,

(4 + 5 + 6)⁰ = (15)⁰

= 15

LHS ≠ RHS

So, 4⁰ + 5⁰ + 6⁰ ≠ (4 + 5 + 6)⁰

Therefore, the given statement is false.

✦ Try This: 3¹ + 7⁰ + 9¹ = (3 + 7 + 9)⁰. State whether the given statement is true or false

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 65

4⁰ + 5⁰ + 6⁰ = (4 + 5 + 6)⁰. State whether the given statement is true or false

Summary:

The given statement,”4⁰ + 5⁰ + 6⁰ = (4 + 5 + 6)⁰” is false

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