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

Evaluate the expression x5x2 \frac{x^{5}}{x^{2}} for x=2 x=2 .

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Full solution

Q. Evaluate the expression x5x2 \frac{x^{5}}{x^{2}} for x=2 x=2 .
  1. Simplify Expression: Simplify the expression using the laws of exponents.\newlineWhen dividing powers with the same base, subtract the exponents: (x5)/(x2)=x(5−2)=x3(x^{5})/(x^{2}) = x^{(5-2)} = x^{3}.
  2. Substitute xx with 22: Substitute the value of xx with 22 into the simplified expression.x3x^{3} becomes 232^{3} when x=2x=2.
  3. Calculate Value: Calculate the value of 232^{3}. 23=2×2×2=82^{3} = 2 \times 2 \times 2 = 8.

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