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M31-45

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M31-45  [#permalink]

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New post 20 Jun 2015, 10:40
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (00:43) correct 35% (01:01) wrong based on 26 sessions

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Re M31-45  [#permalink]

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New post 20 Jun 2015, 10:40
Official Solution:


What is the value of \(K\)?

(1) \((-k)^5 = -k^5\). This is the same as \(-k^5 = -k^5\), which holds true for any value of \(k\). Not sufficient.

(2) \((-k)^4 = -k^4\). Since \((-k)^4 = k^4\), then we have that \(k^4 = -k^4\), which gives \(2k^4 = 0\), or \(k = 0\). Sufficient.


Answer: B
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Re: M31-45  [#permalink]

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New post 13 Dec 2017, 05:35
Hello,

Could you please explain the difference between (-k^3), (-k)^3, -(k)^3 and -(k^3) ? I have problems understanding this. Many thanks
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Re: M31-45  [#permalink]

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New post 13 Dec 2017, 06:03
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Re: M31-45  [#permalink]

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New post 13 Dec 2017, 06:46
Bunuel

Thank you for your answer.


Just to further elaborate though.. (-k^3) = -k * -k * -k, whereas -(k)^3 means -(k*k*k) right? (same result but the way to calculate it is different?) So the power has priority over the sign if the sign is not within the brackes along with k?

Kindly let me know if I understand this correctly.
Thank you.
Kristian


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Re: M31-45  [#permalink]

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New post 13 Dec 2017, 07:00
krikre wrote:
Bunuel

Thank you for your answer.


Just to further elaborate though.. (-k^3) = -k * -k * -k, whereas -(k)^3 means -(k*k*k) right? (same result but the way to calculate it is different?) So the power has priority over the sign if the sign is not within the brackes along with k?

Kindly let me know if I understand this correctly.
Thank you.
Kristian


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No.

-k^3 = - (k*k*k).
(-k)^3 = (-k)(-k)(-k)
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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.


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Re: M31-45 &nbs [#permalink] 13 Dec 2017, 07:00
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