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rss GMAT Practice Question (One of Hundreds)
What is the value of the following fraction:
Figure 1
Correct Answer: D
Use exponent simplification rules and the fact that 26 = 2(13), 23 = 8, and 32 = 9
  1. Since 26 = 13(2), 263 = (13*2)3 = (13)3*23
  2. The numerator of the fraction can be simplified:
    263 + 133
    (13*2)3 + (13)3
    (13)3*(2)3 + (13)3
  3. Factor the common term of (13)3 out:
    (13)3*(2)3 + (13)3
    (13)3(23 + 1)
  4. Using the powers of exponents, you can make the following simplifications:
    Figure 2
  5. Continue the simplification:
    Figure 3
  6. The correct answer is D.