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D01-06

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D01-06  [#permalink]

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New post 15 Sep 2014, 23:11
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (01:03) correct 14% (01:14) wrong based on 167 sessions

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What is the value of \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}}\)?

A. 16
B. 4
C. 2
D. \(\frac{1}{2}\)
E. \(\frac{1}{16}\)

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Re D01-06  [#permalink]

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New post 15 Sep 2014, 23:11
Official Solution:

What is the value of \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}}\)?

A. 16
B. 4
C. 2
D. \(\frac{1}{2}\)
E. \(\frac{1}{16}\)


We just have to simplify the expression:
\(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\)


Answer: A
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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: D01-06  [#permalink]

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New post 08 Jun 2018, 02:56
Quote:
Official Solution:

What is the value of \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}}\)?

A. 16
B. 4
C. 2
D. \(\frac{1}{2}\)
E. \(\frac{1}{16}\)


We just have to simplify the expression:
\(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\)


Answer: A


Thank you for elaborating.

I somehow have issues with such problems on a frequent basis.

Does breaking the respective fraction down into the respective prime and exponent represent the best go to solution?
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A couple of things that helped me in verbal:
https://gmatclub.com/forum/verbal-strategies-268700.html#p2082192

Gmat Prep CAT #1: V42, Q34, 630
Gmat Prep CAT #2: V46, Q35, 660
Gmat Prep CAT #3: V41, Q42, 680

On the mission to improve my quant score, all help is appreciated! :)

Math Expert
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Joined: 02 Sep 2009
Posts: 51072
Re: D01-06  [#permalink]

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New post 08 Jun 2018, 05:38
Arro44 wrote:
Quote:
Official Solution:

What is the value of \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}}\)?

A. 16
B. 4
C. 2
D. \(\frac{1}{2}\)
E. \(\frac{1}{16}\)


We just have to simplify the expression:
\(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{-4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\)


Answer: A


Thank you for elaborating.

I somehow have issues with such problems on a frequent basis.

Does breaking the respective fraction down into the respective prime and exponent represent the best go to solution?


In many cases yes, because in this case we break a number into its building blocks which makes manipulating a lot easier.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: D01-06  [#permalink]

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New post 21 Aug 2018, 09:29
everything just cancel out by itself and we are left with 1 upon 1by 16 which after reversal becomes 16.
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Re: D01-06 &nbs [#permalink] 21 Aug 2018, 09:29
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