Question

Given that 7^2 = 12^x, evaluate 12^2x.

Answer 1

12^2x = 7^4 = 2401

7^2=12^x

We know that a^x * a^x = a^(x+x) or a^2x

Multiply each side by 12^x

7^2 * 12^x=12^x * 12^x

7^2 * 12^x = 12^(x+x)

Replace 12^x with 7^2 on the left hand side since they are equal

7^2 * 7^2 = 12^ (2x)

7^(2+2) = 12^(2x)

7^4 = 12^2x

2401 = 12^2x

Explanation: