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Which of the following is equivalent to (x^(1/2))^4?
Practice Questions
Q1
Which of the following is equivalent to (x^(1/2))^4?
x^(2)
x^(1)
x^(1/4)
x^(1/8)
Questions & Step-by-Step Solutions
Which of the following is equivalent to (x^(1/2))^4?
Correct Answer: x^2
Steps
Concepts
Step 1: Identify the expression we need to simplify, which is (x^(1/2))^4.
Step 2: Recall the power of a power property, which states that (a^m)^n = a^(m*n).
Step 3: Apply the power of a power property to our expression: (x^(1/2))^4 becomes x^((1/2)*4).
Step 4: Calculate (1/2) * 4, which equals 2.
Step 5: Substitute back into the expression: x^((1/2)*4) becomes x^2.
Step 6: Conclude that (x^(1/2))^4 is equivalent to x^2.
No concepts available.
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