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Evaluate the expression (5*x^(3))/(x^(2)) for x=2.

Evaluate the expression 5⋅x3x2 \frac{5 \cdot x^{3}}{x^{2}} for x=2 x=2 .

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Full solution

Q. Evaluate the expression 5⋅x3x2 \frac{5 \cdot x^{3}}{x^{2}} for x=2 x=2 .
  1. Simplify Expression: Simplify the expression by canceling out common factors in the numerator and the denominator.\newline(5x3)/(x2)=5x3−2=5x1=5x(5x^{3})/(x^{2}) = 5x^{3-2} = 5x^{1} = 5x
  2. Substitute x=2x=2: Substitute x=2x=2 into the simplified expression.\newline5×x=5×2=105\times x = 5\times 2 = 10

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