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If z=3^4
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19 Jul 2019, 02:16
19 Jul 2019, 02:16
Expert Reply
00:00
Question Stats:
93% (00:48) correct
6% (01:28) wrong based on 32 sessions
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If \(z=3^4\), then \((3^z)^z\) =
A. \(3^{16}\)
B. \(3^{81}\)
C. \(3^{324}\)
D. \(3^{405}\)
E. \(3^{6,561}\)
A. \(3^{16}\)
B. \(3^{81}\)
C. \(3^{324}\)
D. \(3^{405}\)
E. \(3^{6,561}\)
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If z=3^4
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20 Jul 2019, 06:44
20 Jul 2019, 06:44
2
Carcass wrote:
If \(z=3^4\), then \((3^z)^z\) =
A. \(3^{16}\)
B. \(3^{81}\)
C. \(3^{324}\)
D. \(3^{405}\)
E. \(3^{6,561}\)
A. \(3^{16}\)
B. \(3^{81}\)
C. \(3^{324}\)
D. \(3^{405}\)
E. \(3^{6,561}\)
\(3^4 = 81\)
So, \(z=3^4=81\)
This means we can write: \((3^z)^z=(3^{81})^{81}=3^{(81^2)}=3^{6561}\)
Answer: E
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gmatclubot
If z=3^4 [#permalink]
20 Jul 2019, 06:44
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