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# If x/12 = 2^(-5)*4^(1/2) then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 58398
If x/12 = 2^(-5)*4^(1/2) then x =  [#permalink]

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28 Jan 2019, 01:26
1
1
00:00

Difficulty:

5% (low)

Question Stats:

88% (01:13) correct 12% (02:08) wrong based on 36 sessions

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If $$\frac{x}{12}=2^{-5} *4^{\frac{1}{2}}$$ then x =

A. 3/8
B. 3/4
C. 1
D. 4/3
E. 2

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Joined: 18 Jul 2018
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Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
If x/12 = 2^(-5)*4^(1/2) then x =  [#permalink]

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28 Jan 2019, 01:36
$$4^{\frac{1}{2}}$$ = $$\sqrt{4}$$ = 2

$$\frac{1}{12}$$ = $$\frac{1}{2^2*3}$$ = $$x*2^{-2}*3^{-1}$$ = $$2^{-5}*2$$.

x = $$\frac{2^{-4}}{2^{-2}*3^{-1}}$$ = $$\frac{3}{4}$$

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Re: If x/12 = 2^(-5)*4^(1/2) then x =  [#permalink]

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28 Jan 2019, 02:48
Bunuel wrote:
If $$\frac{x}{12}=2^{-5} *4^{\frac{1}{2}}$$ then x =

A. 3/8
B. 3/4
C. 1
D. 4/3
E. 2

x= 2^2 * 3^1 * 2^-5* 2
x= 3/4
IMO B
Re: If x/12 = 2^(-5)*4^(1/2) then x =   [#permalink] 28 Jan 2019, 02:48
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