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# If z = 3^4, then (3^z)^z =

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Math Expert
Joined: 02 Sep 2009
Posts: 56256
If z = 3^4, then (3^z)^z =  [#permalink]

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15 Jul 2018, 08:27
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Difficulty:

15% (low)

Question Stats:

77% (01:05) correct 23% (01:34) wrong based on 48 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) $$3^{6561}$$

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If z = 3^4, then (3^z)^z =  [#permalink]

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15 Jul 2018, 08:54
Bunuel wrote:
If $$z = 3^4$$, then $$(3^z)^z =$$

(A) $$3^{16}$$

(B) $$3^{81}$$

(C) $$3^{324}$$

(D) $$3^{405}$$

(E) $$3^{6561}$$

$$z=3^4=81$$

so $$(3^z)^z=(3^{81})^{81}=3^{81*81}$$

we do not need to calculate the exact value. $$81*81$$ will have a units digit of $$1$$. Only Option B & E have units digit $$1$$. Obviously option B is not possible.

Hence option E
If z = 3^4, then (3^z)^z =   [#permalink] 15 Jul 2018, 08:54
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# If z = 3^4, then (3^z)^z =

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