GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
(z^6)^x * z^3x
[#permalink]
17 Sep 2017, 11:50
17 Sep 2017, 11:50
Expert Reply
00:00
Question Stats:
90% (00:18) correct
9% (00:29) wrong based on 110 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
\((z^6)^x \times z^{3x}\) |
\(z^{9x}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: (z^6)^x * z^3x
[#permalink]
17 Sep 2017, 14:22
17 Sep 2017, 14:22
1
Carcass wrote:
Quantity A |
Quantity B |
\((z^6)^x * z^{3x}\) |
\(z^{9x}\) |
Given:
Quantity A: [(z^6)^x][z^(3x)]
Quantity B: z^(9x)
Apply Power of a Power rule to see that (z^6)^x = z^(6x).
So, we get:
Quantity A: [z^(6x)][z^(3x)]
Quantity B: z^(9x)
Next, apply Product rule to Quantity A to get:
Quantity A: z^(9x)
Quantity B: z^(9x)
Answer:
Show: ::
C
RELATED VIDEO FROM OUR COURSE
Re: (z^6)^x * z^3x
[#permalink]
Updated on: 16 Jul 2019, 04:43
Updated on: 16 Jul 2019, 04:43
1
A: Simply
=z^6^X * Z^3x
=Z^6x * Z^3x
=Z^(6x+3x)
=Z^9x
C
=z^6^X * Z^3x
=Z^6x * Z^3x
=Z^(6x+3x)
=Z^9x
C
