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Evaluate the expression.
Do not round your answer.

2((1)/(3^(2)))=

Evaluate the expression.\newlineDo not round your answer.\newline2(132)= 2\left(\frac{1}{3^{2}}\right)=

Full solution

Q. Evaluate the expression.\newlineDo not round your answer.\newline2(132)= 2\left(\frac{1}{3^{2}}\right)=
  1. Identify Base and Exponent: Identify the base and the exponent in the expression (1)/(32)(1)/(3^{2}).\newlineIn the expression (1)/(32)(1)/(3^{2}), 33 is the base raised to the exponent 22.\newlineBase: 33\newlineExponent: 22
  2. Calculate 33 Squared: Calculate the value of 33 squared.\newline33 squared means 33 is multiplied by itself.\newline32=3×3=93^{2} = 3 \times 3 = 9
  3. Find Reciprocal of 33 Squared: Find the reciprocal of 33 squared.\newlineThe reciprocal of a number is 11 divided by that number.\newlineReciprocal of 323^{2} = (1)/(32)(1)/(3^{2}) = (1)/(9)(1)/(9)
  4. Multiply Reciprocal by 22: Multiply the reciprocal of 323^2 by 22. \newline2×19=292 \times \frac{1}{9} = \frac{2}{9}