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Variable expressions with expon
Evaluate the expression 
(5*x^(3))/(x^(2)) for 
x=2
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Evaluate the expression \newline(5x3)/(x2)(5x^{3})/(x^{2}) for x=2x=2\newline

Full solution

Q. Evaluate the expression \newline(5x3)/(x2)(5x^{3})/(x^{2}) for x=2x=2\newline
  1. Identify Expression and Value: Identify the expression and the value for which it needs to be evaluated.\newlineThe expression given is (5x3)/(x2)(5\cdot x^{3})/(x^{2}) and we need to evaluate it for x=2x=2.
  2. Substitute Value into Expression: Substitute the value of xx into the expression.\newlineSubstitute x=2x=2 into the expression to get 52322\frac{5\cdot2^{3}}{2^{2}}.
  3. Simplify Using Exponents: Simplify the expression using the laws of exponents. \newline232^{3} means 22 multiplied by itself 33 times, which is 2×2×2=82 \times 2 \times 2 = 8.\newline222^{2} means 22 multiplied by itself 22 times, which is 2×2=42 \times 2 = 4.\newlineSo, the expression becomes (5×8)/(4)(5 \times 8)/(4).
  4. Perform Multiplication and Division: Perform the multiplication and division.\newlineFirst, multiply 55 by 88 to get 4040.\newlineThen, divide 4040 by 44 to get 1010.\newlineSo, the simplified expression is 1010.

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