x⁰ × x⁰ = x⁰ ÷ x⁰ is true for all non-zero values of x. State whether the given statement is true or false

Solution:

Given, x⁰ × x⁰ = x⁰ ÷ x⁰ is true for all non-zero values of x.

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

Considering x⁰ × x⁰,

We know, a⁰ = 1

So, x⁰ = 1

x⁰ × x⁰ = 1 × 1

= 1 --------------------------------------- (1)

Considering x⁰ ÷ x⁰,

We know x⁰ = 1

x⁰ ÷ x⁰ = 1 ÷ 1

= 1 --------------------------------------- (2)

From (1) and (2),

x⁰ × x⁰ = x⁰ ÷ x⁰

✦ Try This: a⁰ × a⁰ = a⁰ ÷ a⁰ is true for all non-zero values of a. 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 48

x⁰ × x⁰ = x⁰ ÷ x⁰ is true for all non-zero values of x. State whether the given statement is true or false

Summary:

The given statement,”x⁰ × x⁰ = x⁰ ÷ x⁰ is true for all non-zero values of x”

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