GRE Sample Test 5 Quantitative Reasoning 2

Question : 7 of 20

Marks: +1, -0

Quantity A :

{16^{-a}}/{4^{-b}}

Quantity B :

4^{b-2a}

Validate

Solution:

Simplify Quantity A by expressing the numerator as base 4 :

16^{-a}

(4^2)^{-a}

. Therefore,

{16^{-a}}{4^{-b}}

{4^{-2a}}/{4^{-b}

4(-2a+b)

4^{b-2a}

. The two quantities are equal.

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