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If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the

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If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the [#permalink]  23 May 2017, 02:47
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94% (01:23) correct 5% (01:09) wrong based on 57 sessions

If a = $$(27)(3^{-2} )$$ and x = $$(6)(3^{-1} )$$, then which of the following is equivalent to $$(12)(3^{-x} ) * (15)(2^{-a} )$$ ?

A) $$5(-2245)(320)$$

B) $$\frac{2}{5}$$

C) $$\frac{5}{2}$$

D) $$5(24)(38)$$

E) $$5(2245)(320)$$
[Reveal] Spoiler: OA

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Kudos [?]: 368 [1] , given: 66

Re: If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the [#permalink]  10 Oct 2017, 08:08
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Carcass wrote:

If a = $$(27)(3^^{-2} )$$ and x = $$(6)(3 ^{-1} )$$, then which of the following is equivalent to $$(12)(3 ^{-x} ) * (15)(2 ^{-a} )$$ ?

A) 5(–2245)(320)

B) $$\frac{2}{5}$$

C) $$\frac{5}{2}$$

D) 5(24)(38)

E) 5(2245)(320)

a can be rewritten as $$\frac{27}{9} = 3$$ and x as $$\frac{6}{3} = 2$$. Then, the expression becomes

$$(12)(3 ^{-2} ) * (15)(2 ^{-2} ) = \frac{12}{9}*\frac{15}{4} = \frac{5}{2}$$.

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Re: If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the [#permalink]  05 Feb 2019, 05:48
a=3 & x=2

(12)(3−x)∗(15)(2−a)=5/2

Re: If a = (27)(3^–2^ ) and x = (6)(3 ^–1^ ), then which of the   [#permalink] 05 Feb 2019, 05:48
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