(10 + 10)¹⁰ = 10¹⁰ + 10¹⁰. State whether the given statement is true or false

Solution:

Given, (10 + 10)¹⁰ = 10¹⁰ + 10¹⁰.

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

Considering (10 + 10)¹⁰,

(10 + 10)¹⁰ = (20)¹⁰

(20)¹⁰ can be written as (2 × 10)¹⁰

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

(a×b)^m = a^m × b^m

So, (2 × 10)¹⁰ = (2)¹⁰ × 10¹⁰ --------------------------- (1)

Considering 10¹⁰ + 10¹⁰,

10¹⁰ + 10¹⁰ = 10¹⁰(1 + 1)

= 2 × 10¹⁰ ------------------------------------------------ (2)

From (1) and (2),

(10 + 10)¹⁰ ≠ 10¹⁰ + 10¹⁰

✦ Try This: (30 + 30)¹² = 30¹⁰ + 30². 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 47

(10 + 10)¹⁰ = 10¹⁰ + 10¹⁰. State whether the given statement is true or false

Summary:

The given statement,”(10 + 10)¹⁰ = 10¹⁰ + 10¹⁰” is false

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