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Which of the following is equivalent to (x^(1/2))^4?
Which of the following is equivalent to (x^(1/2))^4?
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Practice Questions
1 question
Q1
Which of the following is equivalent to (x^(1/2))^4?
x^(2)
x^(1)
x^(1/4)
x^(1/8)
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Using the power of a power property, (x^(1/2))^4 = x^(1/2 * 4) = x^(2).
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is equivalent to (x^(1/2))^4?
Solution:
Using the power of a power property, (x^(1/2))^4 = x^(1/2 * 4) = x^(2).
Steps: 6
Show Steps
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.
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