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Evaluate the expression (1)/(3)x^(2) for x=6.

Evaluate the expression 13x2 \frac{1}{3} x^{2} for x=6 x=6 .

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Full solution

Q. Evaluate the expression 13x2 \frac{1}{3} x^{2} for x=6 x=6 .
  1. Substitute xx in expression: We are given the expression (13)x2(\frac{1}{3})x^2 and the value x=6x = 6. Our goal is to substitute the value of xx into the expression and simplify.\newlineSubstitute 66 for xx in the expression (13)x2(\frac{1}{3})x^2.\newline(13)x2=(13)×62(\frac{1}{3})x^2 = (\frac{1}{3}) \times 6^2
  2. Calculate square of x: Calculate the square of 66.\newline66^22 = 3636\newlineNow the expression becomes (11/33) \times 3636.
  3. Simplify expression: Multiply (13)(\frac{1}{3}) by 3636 to simplify the expression.\newline(13)×36=12(\frac{1}{3}) \times 36 = 12

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