Question
\begin{tabular}{l} Evaluate. Write your answer as a fraction in simplest form. \\ Exponents and fractions \\ \( \left(\frac{1}{9}\right)^{2} \) \\ \hline\( \square \)\end{tabular}
Ask by Schneider Salinas. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{1}{81} \)
Solution
Calculate or simplify the expression \( (1/9)^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{1}{9}\right)^{2}\)
- step1: Use the properties of exponents:
\(\frac{1^{2}}{9^{2}}\)
- step2: Evaluate the power:
\(\frac{1}{9^{2}}\)
- step3: Evaluate the power:
\(\frac{1}{81}\)
The value of \( \left(\frac{1}{9}\right)^{2} \) is \( \frac{1}{81} \).
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Simplify this solution Extra Insights
To evaluate \( \left(\frac{1}{9}\right)^{2} \), you square both the numerator and the denominator. So, you calculate: \[ \left(\frac{1}{9}\right)^{2} = \frac{1^{2}}{9^{2}} = \frac{1}{81} \] Thus, the answer is \( \frac{1}{81} \).
