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Evaluate the expression 5x3x25\cdot \frac{x^3}{x^2} for x=2x=2.

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Q. Evaluate the expression 5x3x25\cdot \frac{x^3}{x^2} for x=2x=2.
  1. Substitute xx into expression: Substitute the value of xx into the expression.\newlineSubstitute x=2x = 2 into the expression 5x3/x25\cdot x^3/x^2.\newline5(23)/(22)5\cdot(2^3)/(2^2)
  2. Simplify powers of x: Simplify the powers of xx.\newlineCalculate 232^3 and 222^2.\newline23=2×2×2=82^3 = 2 \times 2 \times 2 = 8\newline22=2×2=42^2 = 2 \times 2 = 4\newlineNow the expression is 5×8/45\times8/4.
  3. Perform multiplication and division: Perform the multiplication and division.\newlineMultiply 55 by 88 to get 4040.\newlineThen divide 4040 by 44 to get the final result.\newline40/4=1040/4 = 10

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