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Evaluate the expression\newline12x3\frac{1}{2} x^3 for\newlinex=4x = 4.

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Full solution

Q. Evaluate the expression\newline12x3\frac{1}{2} x^3 for\newlinex=4x = 4.
  1. Substitute x = 44: First, substitute x=4x = 4 into the expression 12x3\dfrac{1}{2} x^3.\newline12(4)3 \dfrac{1}{2} (4)^3
  2. Calculate 44^33: Next, calculate 434^3.\newline43=4×4×4=64 4^3 = 4 \times 4 \times 4 = 64
  3. Multiply by 11/22: Now, multiply 12\dfrac{1}{2} by 6464.\newline12×64=32 \dfrac{1}{2} \times 64 = 32

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