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If m^(-1) = -1/3 then m^(-2) is equal to

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If m^(-1) = -1/3 then m^(-2) is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9
[Reveal] Spoiler: OA
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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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New post 27 Feb 2014, 19:20
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Walkabout wrote:
If m^(-1) = -1/3 then m^(-2) is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9



\(\frac{1}{m} = \frac{-1}{3}\)

Squaring both sides

\(\frac{1}{m^2} = \frac{1}{9} =\)Answer = D
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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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New post 28 Jun 2016, 04:48
Walkabout wrote:
If m^(-1) = -1/3 then m^(-2) is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9


Since we know that m^-1 = -1/3 and m^-2 = (m^-1)^2, then m^-2 = (-1/3)^2 = 1/9.

The answer is D.
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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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New post 27 Jul 2016, 06:53
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Walkabout wrote:
If mˉ¹ = -1/3 then mˉ² is equal to

(A) -9
(B) -3
(C) -1/9
(D) 1/9
(E) 9


Some good solutions here.
Here's one more approach:

CONCEPT: b^(-n) = 1/(b^n)

Given: mˉ¹ = -1/3
Rewrite as: 1/m = 1/(-3)
We can see that m = -3

So, mˉ² = 1/(m²) = 1/(-3)² = 1/9

Answer:
[Reveal] Spoiler:
D


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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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New post 29 Jul 2016, 10:52
M^-1=-1/3=> M=-3
hence M^-2=1/9
Smash D
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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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New post 29 Jul 2016, 11:14
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m^(-1) = -(1/3)
Squaring both sides
m^(-2) = 1/9

Ans. D
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Re: If m^(-1) = -1/3 then m^(-2) is equal to [#permalink]

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New post 27 Sep 2016, 13:26
\(m^-1 = \frac{-1}{3}\)

\(\frac{1}{m} = \frac{-1}{3}\)

By cross multiplication

\(-m = 3\)

Squaring both sides

\(m^2 = 9\)

So \(m^-2 = \frac{1}{9}\)
Re: If m^(-1) = -1/3 then m^(-2) is equal to   [#permalink] 27 Sep 2016, 13:26
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