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Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 3478
GPA: 3.39
If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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1
1 00:00

Difficulty:   15% (low)

Question Stats: 57% (00:42) correct 43% (01:33) wrong based on 35 sessions

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If $$x = -1$$ then $$x^4 - x^3 + x^2 - x^1 + x^0 =$$

A. -3

B. -2

C. 3

D. 4

E. 5

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Manager  S
Joined: 29 Jun 2019
Posts: 180
Re: If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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SajjadAhmad wrote:
If $$x = -1$$ then $$x^4 - x^3 - x^2 - x^1 - x^0 =$$

A. -3

B. -2

C. 3

D. 4

E. 5

Am I wrong?
Each number to the power of 0 equals 1.
So -1 ^0= 1
So , -1^4 - (-1^3)-(-1^2)-(-1)-1=1
But there is not among options.

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Intern  B
Joined: 13 Mar 2018
Posts: 6
Re: If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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My answer is coming as 1 but the in option not given.
My approach-

x = -1
then x^4 - x^3 - x^2 - x^1 - x^0

= (-1)^4-(-1)^3-(-1)^2-(-1)^1-(-1)^0
=1+1-1+1-1
=1
Intern  Joined: 12 Aug 2019
Posts: 1
Re: If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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1
As the value of X=-1, so even power will be positive so the solution is:
(-1)^4-(-1)^3-(-1)^2-(-1)^1-(-1)^0
=1-(-1)-(1)-(-1)-(-1)
=1+1-1+1+1
=3
Director  V
Joined: 27 May 2012
Posts: 840
If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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1
meht wrote:
As the value of X=-1, so even power will be positive so the solution is:
(-1)^4-(-1)^3-(-1)^2-(-1)^1-(-1)^0
=1-(-1)-(1)-(-1)-(-1)
=1+1-1+1+1
=3

meht $$(-1)^0=1$$ and NOT -1 so you should get 1+1-1+1-1=1
SajjadAhmad: Can you please check the options else please provide the OE. Thanks
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- Stne

Originally posted by stne on 16 Aug 2019, 11:37.
Last edited by stne on 16 Aug 2019, 11:55, edited 1 time in total.
Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 3478
GPA: 3.39
Re: If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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Thank you! edited, kindly refresh the page.

stne wrote:
meht wrote:
As the value of X=-1, so even power will be positive so the solution is:
(-1)^4-(-1)^3-(-1)^2-(-1)^1-(-1)^0
=1-(-1)-(1)-(-1)-(-1)
=1+1-1+1+1
=3

meht $$(-1)^0=1$$ and NOT -1 so you should get 1+1+-1+1-1=1
SajjadAhmad: Can you please check the options else please provide the OE. Thanks

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Manager  G
Joined: 30 Sep 2017
Posts: 249
Concentration: Technology, Entrepreneurship
GMAT 1: 720 Q49 V40 GPA: 3.8
WE: Engineering (Real Estate)
If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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1
SajjadAhmad

$$x^4 - x^3 - x^2 - x^1 + x^0$$
$$= (-1)^4-(-1)^3-(-1)^2-(-1)^1+(-1)^0$$
$$= 1 + 1 + 1 + 1 + 1 = 5$$

Answer is (E)

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Originally posted by chondro48 on 16 Aug 2019, 17:40.
Last edited by chondro48 on 17 Aug 2019, 05:45, edited 1 time in total.
VP  P
Joined: 03 Jun 2019
Posts: 1080
Location: India
Re: If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =  [#permalink]

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SajjadAhmad wrote:
If $$x = -1$$ then $$x^4 - x^3 + x^2 - x^1 + x^0 =$$

A. -3

B. -2

C. 3

D. 4

E. 5

1+1+1+1+1=5

IMO E

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E-mail : kinshook.chaturvedi@gmail.com Re: If x = -1 then x^4 - x^3 - x^2 - x^1 - x^0 =   [#permalink] 16 Aug 2019, 18:56
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