Question
Evaluate. Write your answer as a fraction in simplest form. \( \left(\frac{1}{7}\right)^{2} \)
Ask by Boone Byrd. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is \( \frac{1}{49} \).
Solution
To evaluate \( \left(\frac{1}{7}\right)^{2} \), follow these steps:
1. Raise the numerator and the denominator to the power of 2:
\[
\left(\frac{1}{7}\right)^{2} = \frac{1^2}{7^2}
\]
2. Calculate the squares:
\[
\frac{1^2}{7^2} = \frac{1}{49}
\]
Thus, the answer in simplest form is \( \frac{1}{49} \).
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Simplify this solution Beyond the Answer
To evaluate \( \left(\frac{1}{7}\right)^{2} \), you simply square the numerator and the denominator. So, \( \left(\frac{1}{7}\right)^{2} = \frac{1^{2}}{7^{2}} = \frac{1}{49} \). Thus, the answer is \( \frac{1}{49} \).
