If 7 to the power of 2 X =1 what is the value of x

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the statement:

7 to the power of 2x = 1

This can be written in numerical expression as,

7^2x = 1

Solution:

Now we need to find the value of x that will result to 1. Since it is a common rule that any number raised to 0, the answer will be 1, then we know that x is equal to 0 since if we multiply 2 by 0, the answer is 0, and 7 raised to 0, the answer is 1.

7^2x = 1

7^2(0) = 1

7^0 = 1

1 = 1

Final answer:

x =0