Solve x^2=7^8

by inspection. There are two real solutions. Enter the lesser number first, and use exponents in your responses. (1 point)

1 answer

The solution of x^2 = 7^8 can be found by taking the square root of both sides:

x = ±√(7^8)

Since 7^8 is a positive number, we can simplify the expression:

x = ±7^(8/2)
x = ±7^4

Therefore, the two real solutions are:
-7^4 (lesser number)
7^4