Questions: Solve. x^(1 / 4) = 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers.) B. There is no solution.

Solution Steps

To solve the equation \( x^{1/4} = 4 \), we need to isolate \( x \). This can be done by raising both sides of the equation to the power of 4, which will eliminate the fractional exponent on the left side. This will give us the value of \( x \).

The given equation is \( x^{1/4} = 4 \). This means that the fourth root of \( x \) is equal to 4.

To solve for \( x \), we need to eliminate the fractional exponent by raising both sides of the equation to the power of 4. This gives us: \[ (x^{1/4})^4 = 4^4 \]

Simplifying the left side, we have: \[ x = 4^4 \]

Calculate \( 4^4 \): \[ 4^4 = 256 \]

Final Answer