Question
Evaluate: \( \left(\frac{9}{64}\right)^{\frac{1}{2}} \) A. \( \frac{9}{8} \) B. \( \frac{3}{64} \) c. \( \frac{3}{8} \) D. \( \frac{9}{64} \)
Ask by Powers Ward. in the United States
Jan 31,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \( \frac{3}{8} \), choice C.
Solution
To evaluate \( \left(\frac{9}{64}\right)^{\frac{1}{2}} \), we need to find the square root of both the numerator and the denominator separately.
\[
\sqrt{\frac{9}{64}} = \frac{\sqrt{9}}{\sqrt{64}} = \frac{3}{8}
\]
**Answer:**
C. \( \frac{3}{8} \)
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Simplify this solution Bonus Knowledge
To evaluate \( \left(\frac{9}{64}\right)^{\frac{1}{2}} \), we can take the square root of both the numerator and denominator separately. The square root of 9 is 3, and the square root of 64 is 8. Therefore, we have: \[ \left(\frac{9}{64}\right)^{\frac{1}{2}} = \frac{\sqrt{9}}{\sqrt{64}} = \frac{3}{8} \] The correct answer is **C. \( \frac{3}{8} \)**.
