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Senior Manager Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 , given: 220

If (4^2)^3*2^6=2^y, what is the value of y? [#permalink] 00:00

Question Stats: 75% (00:12) correct 25% (00:00) wrong based on 4 sessions
If $$(4^2)^3*2^6=2^y$$, what is the value of y?

(A) 6

(B) 12

(C) 18

(D) 36

(E) 72

Kudos for correct solution.
[Reveal] Spoiler: OA Director Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344  , given: 66

Re: If (4^2)^3*2^6=2^y, what is the value of y? [#permalink]
1
KUDOS
Let's use the properties of exponentials, i.e. the fact that that $$(x^a)^b = x^{ab}$$ and $$x^a x^b = x^{a+b}$$.

In our case, we can rewrite the left-hand side of the equation as $$(4^2)^3 = ((2^2)^2)^3 = 2^{12}$$ and then $$2^{12}2^6 = 2^{18}$$. Re: If (4^2)^3*2^6=2^y, what is the value of y?   [#permalink] 12 Nov 2017, 23:22
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# If (4^2)^3*2^6=2^y, what is the value of y?  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.