Question
Simplify the following (write your answer as a fraction or a decimal). \( (0,49)^{\frac{1}{2}} \)
Ask by Johnson Reese. in South Africa
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (0.49)^{\frac{1}{2}} = \frac{7}{10} \) or 0.7
Solution
Calculate or simplify the expression \( (0.49)^{\frac{1}{2}} \).
Calculate the value by following steps:
- step0: Calculate:
\(0.49^{\frac{1}{2}}\)
- step1: Convert the expressions:
\(\left(\frac{49}{100}\right)^{\frac{1}{2}}\)
- step2: Use the properties of exponents:
\(\frac{49^{\frac{1}{2}}}{100^{\frac{1}{2}}}\)
- step3: Evaluate the power:
\(\frac{7}{100^{\frac{1}{2}}}\)
- step4: Evaluate the power:
\(\frac{7}{10}\)
The square root of 0.49 is \( \frac{7}{10} \) or 0.7.
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Simplify this solution The Deep Dive
The expression \( (0.49)^{\frac{1}{2}} \) represents the square root of 0.49. Calculating this gives us \( \sqrt{0.49} = 0.7 \). Therefore, the simplified answer is \( 0.7 \). If you prefer a fraction, you can express 0.7 as \( \frac{7}{10} \). So, either way, you get \( 0.7 \) or \( \frac{7}{10} \).
