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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Which is greater 98^7/7^{63} or 2^7/7^{49}  Question banks Downloads My Bookmarks Reviews Important topics
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Which is greater 98^7/7^{63} or 2^7/7^{49} [#permalink]
Expert's post 00:00

Question Stats: 63% (00:56) correct 36% (01:08) wrong based on 58 sessions

 Quantity A Quantity B $$\frac{98^7}{7^{63}}$$ $$\frac{2^7}{7^{49}}$$

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.
[Reveal] Spoiler: OA

_________________ Director Joined: 03 Sep 2017
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Column A can be rewritten as $$\frac{7^{14}2^7}{7^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C! Director Joined: 20 Apr 2016
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IlCreatore wrote:
Column A can be rewritten as $$\frac{7^{14}2^7}{2^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!

The ans should be -

Column A & Column B is

$$\frac{{7^{14}2^7}}{{7^{63}}}=\frac{{2^7}}{{7^{49}}}$$

which comes to option C
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Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html Director Joined: 03 Sep 2017
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pranab01 wrote:
IlCreatore wrote:
Column A can be rewritten as $$\frac{7^{14}2^7}{2^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!

The ans should be -

Column A & Column B is

$$\frac{{7^{14}2^7}}{{7^{63}}}=\frac{{2^7}}{{7^{49}}}$$

which comes to option C

You are right, I made a typo! GRE Instructor Joined: 10 Apr 2015
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Expert's post
Carcass wrote:

 Quantity A Quantity B $$\frac{98^7}{7^{63}}$$ $$\frac{2^7}{7^{49}}$$

We can solve this question using matching operations

Given:
Quantity A: (98^7)/(7^63)
Quantity B: (2^7)/(7^49)

Multiply both quantities by 7^63 to get:
Quantity A: 98^7
Quantity B: (2^7)(7^14)

Rewrite 7^14 as (7^7)(7^7) to get:
Quantity A: 98^7
Quantity B: (2^7)(7^7)(7^7)

A nice rule says (a^k)(b^k) = (ab)^k

Apply this rule to quantity B to get:
Quantity A: 98^7
Quantity B: (2 x 7 x 7)^7

Simplify to get:
Quantity A: 98^7
Quantity B: 98^7

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IlCreatore wrote:
Column A can be rewritten as $$\frac{7^{14}2^7}{7^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!

Nice .. it was hard to imagine that.. great  Re: 98^7   [#permalink] 18 May 2018, 02:35
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