(-6/7)^{x - 7} = 1. Find x.

Solution:

Given, the expression is (-6/7)^{x - 7} = 1.

We have to find the value of x.

Considering 1,

We can write it as (-6/7)⁰.

Using law of exponents,

a⁰ = 1

So, (-6/7)⁰ = 1

Now, (-6/7)^{x - 7} = (-6/7)⁰

On comparing the powers,

x - 7 = 0

x = 7

Therefore, the value of x is 7.

✦ Try This: (-5/2)^{x - 2} = 1. Find x.

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 177(4)

(-6/7)^{x - 7} = 1. Find x.

Summary:

(-6/7)^{x - 7} = 1. The value of x is 7 using the law of exponents a⁰ = 1

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