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GRE Quantitative Reasoning QUESTION #8103
Question 1

Compare the two quantities below.

Column A: $(0.82)^2 \cdot (0.82)^3$

Column B: $(0.82)^6$

  • Column A is greater✔️
  • Column B is greater
  • The two quantities are equal
  • The relationship cannot be determined from the information given
Correct Answer Explanation

Using the rule of exponents: $(0.82)^2 \cdot (0.82)^3 = (0.82)^{2+3} = (0.82)^5$.

Now compare $(0.82)^5$ vs $(0.82)^6$.

Since $0 < 0.82 < 1$, multiplying by $0.82$ makes the number smaller. Therefore $(0.82)^5 > (0.82)^6$.

Column A is greater.