The square root to the power of 4 can be simplified using the properties of exponents. The square root of a number is the same as raising that number to the power of 1/2. Therefore, we can express the square root of a number ‘x’ as:
√(x) = x^(1/2)
When we raise the square root to the power of 4, it becomes:
√(x)^4 = (x^(1/2))^4
According to the rule of exponents that states (a^m)^n = a^(m*n), we can multiply the exponents:
(x^(1/2))^4 = x^((1/2)*4) = x^2
So, the square root to the power of 4 of a number ‘x’ is equal to ‘x’ squared (x^2). This holds true for any non-negative value of ‘x’. Thus, you can think of taking the square root of a value and then squaring it, which essentially gets you back to the original value (if it is non-negative).