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GRE Sample Test 1 Quantitative Reasoning 1

Question : 10 of 20

Marks: +1, -0

\frac{4^{13}-4^{12}}{4^{11}}

Solution:

Because

4^{12}

is a common factor of both

4^{13}

and

4^{12}

, you can rewrite the numerator as

4^{12}(4-1)

. Now look at the whole fraction:

\frac{4^{12}(4-1)}{4^{11}}

You can divide

4^{12}

4^{11}

, leaving you with

4^{1}(4-1)

. Now the calculation should be much easier: 4 × 3 = 12, (D).

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