Manhattan Review Exponents And Roots

Exponents and Roots Each of the following can be written a power of 2. 25 × 24 = 29 83

(26 )3 =

=

18 7 314

2=

2 + 2 + 22 + 23 + 24 + 25 + 2 6 = 1

=

32

4

=

2

=

1

If − < 𝑥 < 0 and the following were arranged in 2

increasing order, which would be in the middle? 𝑥 −1

𝑥2

𝑥

𝑥3

𝑥4

The concentration of a certain chemical in a full water tank depends on the depth of the water. At a depth that is x feet below the top of 4 the tank, the concentration is 3  parts per million, where 0 5 x < 𝑥 < 4. To the nearest 0.1 foot, at what depth in feet is the concentration equal to 6 parts per million? 2.4

2.5

2.8

3.0

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3.2

Orange (GMAT Review 11th Edition) PS (Problem Solving) 9,12,29,43,57,83,99,107,111,113,117,125,128,133,137,150 155,192,194,202,233,244

DS (Data Sufficiency) 34,40,58,126,128,129,131,134,142,144,145

Green (GMAT Quantitative Review) PS (Problem Solving) 2,5,18,20,25,34,41,45,48,53,58,64,65,66,75,81,90,96,97 101,108,117,122,145,147,149,152,153,166

DS (Data Sufficiency) 18,25,53,111,115

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