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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 .

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 (1/3)x2(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 (1/3)x2(1/3)x^2.\newline(1/3)x2=(1/3)62(1/3)x^2 = (1/3) * 6^2
  2. Calculate square of xx: Calculate the square of 66.62=366^2 = 36 Now the expression becomes (1/3)×36(1/3) \times 36.
  3. Simplify expression: Multiply 13\frac{1}{3} by 3636 to simplify the expression.\newline(13)×36=363(\frac{1}{3}) \times 36 = \frac{36}{3}
  4. Final result: Divide 3636 by 33 to get the final result.\newline36/3=1236/3 = 12

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