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Evaluate the expression (5x^(3))/(x^(2)) for x-2

Evaluate the expression 5x3x2 \frac{5 x^{3}}{x^{2}} for x−2 x-2

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Full solution

Q. Evaluate the expression 5x3x2 \frac{5 x^{3}}{x^{2}} for x−2 x-2
  1. Simplify Expression: We need to simplify the expression (5x3)/(x2)(5x^{3})/(x^{2}) before substituting the value of xx. Simplify the expression by canceling out the common xx terms. (5x3)/(x2)=5x3−2=5x1=5x(5x^{3})/(x^{2}) = 5x^{3-2} = 5x^{1} = 5x
  2. Substitute x=2x = 2: Now that we have simplified the expression to 5x5x, we can substitute xx with 22. Substitute x=2x = 2 into the simplified expression 5x5x. 5x=5×2=105x = 5 \times 2 = 10

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