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If (4^2)^3*2^6=2^y, what is the value of y?

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

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New post 12 Nov 2017, 00:00
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:32) correct 11% (02:04) wrong based on 60 sessions

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

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New post 12 Nov 2017, 07:57
Bunuel wrote:
If \((4^2)^3*2^6=2^y\), what is the value of y?

(A) 6

(B) 12

(C) 18

(D) 36

(E) 72


\((4^2)^3*2^6=2^y\)

or, \(((2^2)^2)^3*2^6=2^y\)

or \(2^{12}*2^6=2^y\)

so \(2^{12+6}=2^y\)

or \(2^{18}=2^y\), hence \(18=y\)

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

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New post 12 Nov 2017, 07:59
Bunuel wrote:
If \((4^2)^3*2^6=2^y\), what is the value of y?

(A) 6

(B) 12

(C) 18

(D) 36

(E) 72

\((4^2)^3*2^6=2^y\)
\((4^6)*2^6=2^y\)
\(((2^2)^6)*2^6=2^y\)
\(2^{12}*2^6=2^y\)

Bases are the same. Set exponents equal; for multiplication, add exponents.

(12 + 6) = y
y = 18

Answer C
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If (4^2)^3*2^6=2^y, what is the value of y? &nbs [#permalink] 12 Nov 2017, 07:59
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If (4^2)^3*2^6=2^y, what is the value of y?

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