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If x is a positive integer, and m=1^(x+1), then what is the value of

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Intern
Joined: 20 Jul 2018
Posts: 34
Location: Poland
Schools: Imperial '21
If x is a positive integer, and m=1^(x+1), then what is the value of  [#permalink]

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06 Oct 2018, 10:10
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35% (medium)

Question Stats:

69% (01:25) correct 31% (02:07) wrong based on 45 sessions

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If x is a positive integer, and $$m=3^{x+1}$$, then what is the value of $$9^{2x}$$ in terms of m?

a) $$\frac{m^2}{9}$$

b) $$\frac{m^2}{81}$$

c) $$\frac{m^3}{9}$$

b) $$\frac{m^4}{3}$$

e) $$\frac{m^4}{81}$$

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Intern
Joined: 05 Jun 2018
Posts: 1
Re: If x is a positive integer, and m=1^(x+1), then what is the value of  [#permalink]

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06 Oct 2018, 11:41
m=3^(x+1)

=> m=3^x* 3

=> m/3 = 3^x

Also, 9^2x = 9^x *9^x => (3^x)^2 * (3^x)^2

=> (m/3)^2*(m/3)^2 => m^4/81

Hence Ans: E
Intern
Joined: 15 Jan 2014
Posts: 34
Location: India
Concentration: Technology, Strategy
Schools: Haas '19
GMAT 1: 650 Q49 V30
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WE: Information Technology (Consulting)
Re: If x is a positive integer, and m=1^(x+1), then what is the value of  [#permalink]

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06 Oct 2018, 12:20
Put $$x=1$$ in $$m$$=$$3^{x+1}$$ ==>$$m=3^2$$ ==> $$9$$

Now ,Put $$x=1$$ in $$9^{2x}$$ ==> $$81$$

Now put $$m=9$$ in answer options to get $$81$$

Only option E gives $$81$$

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Re: If x is a positive integer, and m=1^(x+1), then what is the value of &nbs [#permalink] 06 Oct 2018, 12:20
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