Answer :
To determine which choice is equivalent to the expression, let's evaluate it step by step.
The expression mentioned is [tex]\(16^{\frac{1}{2}}\)[/tex].
1. Understanding the Expression:
- [tex]\(16^{\frac{1}{2}}\)[/tex] means we are taking the square root of 16.
2. Calculating the Square Root:
- The square root of 16 is 4, because [tex]\(4 \times 4 = 16\)[/tex].
Now, let's match this result with the given choices:
A. [tex]\(\sqrt{16}\)[/tex] is equal to 4.
B. [tex]\(16 \sqrt{2}\)[/tex] is a different expression, clearly not equal to 4.
C. [tex]\(2 \sqrt{2}\)[/tex] is also a different value and not equal to 4.
D. 3 is not equal to 4.
Thus, the choice that is equivalent to the expression [tex]\(16^{\frac{1}{2}}\)[/tex] is:
A. [tex]\(\sqrt{16}\)[/tex]
The expression mentioned is [tex]\(16^{\frac{1}{2}}\)[/tex].
1. Understanding the Expression:
- [tex]\(16^{\frac{1}{2}}\)[/tex] means we are taking the square root of 16.
2. Calculating the Square Root:
- The square root of 16 is 4, because [tex]\(4 \times 4 = 16\)[/tex].
Now, let's match this result with the given choices:
A. [tex]\(\sqrt{16}\)[/tex] is equal to 4.
B. [tex]\(16 \sqrt{2}\)[/tex] is a different expression, clearly not equal to 4.
C. [tex]\(2 \sqrt{2}\)[/tex] is also a different value and not equal to 4.
D. 3 is not equal to 4.
Thus, the choice that is equivalent to the expression [tex]\(16^{\frac{1}{2}}\)[/tex] is:
A. [tex]\(\sqrt{16}\)[/tex]