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Evaluate the expression. Do not round your answer.

((1)/(9-2))^(2)=

Evaluate the expression. Do not round your answer.\newline(192)2= \left(\frac{1}{9-2}\right)^{2}=

Full solution

Q. Evaluate the expression. Do not round your answer.\newline(192)2= \left(\frac{1}{9-2}\right)^{2}=
  1. Simplify Expression: Simplify the expression inside the parentheses 929-2. Calculate the difference between 99 and 22. 92=79 - 2 = 7
  2. Rewrite with Simplified Denominator: Rewrite the expression with the simplified denominator.\newlineThe expression now becomes (17)2(\frac{1}{7})^{2}.
  3. Calculate Square: Calculate the square of 17\frac{1}{7}. (17)2(\frac{1}{7})^{2} means 17\frac{1}{7} multiplied by itself. (17)×(17)=149(\frac{1}{7}) \times (\frac{1}{7}) = \frac{1}{49}
  4. Write Final Answer: Write the final answer as a decimal or whole number.\newlineSince the problem asks not to round the answer, we leave it as a fraction.\newlineThe final answer is 149.\frac{1}{49}.