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0.91^8/0.91^9
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13 Jun 2018, 22:16
13 Jun 2018, 22:16
1
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Question Stats:
78% (00:17) correct
21% (00:18) wrong based on 90 sessions
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Quantity A |
Quantity B |
\(\frac{0.91^8}{0.91^9}\) |
1 |
A. The quantity in Column A is greater
B. The quantity in Column 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: 0.91^8/0.91^9
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14 Jun 2018, 06:11
14 Jun 2018, 06:11
1
amorphous wrote:
Quantity A |
Quantity B |
\(\frac{0.91^8}{0.91^9}\) |
1 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Approach #1:
Given:
Quantity A: (0.91^8)/(0.91^9)
Quantity B: 1
Apply Quotient Law to quantity A to get:
Quantity A: 0.91^(-1)
Quantity B: 1
Rewrite quantity A as:
Quantity A: 1/0.91
Quantity B: 1
Since the numerator (1) is greater than the denominator (0.91), we know that 1/0.91 is greater than 1
Answer: A
Cheers,
Brent
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 0.91^8/0.91^9
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14 Jun 2018, 06:14
14 Jun 2018, 06:14
1
amorphous wrote:
Quantity A |
Quantity B |
\(\frac{0.91^8}{0.91^9}\) |
1 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Approach #2:
We can solve this question using matching operations
Given:
Quantity A: (0.91^8)/(0.91^9)
Quantity B: 1
Multiply both quantities by 0.91^9 to get:
Quantity A: 0.91^8
Quantity B: 0.91^9
Divide both quantities by 0.91^8 to get:
Quantity A: 1
Quantity B: 0.91
Answer: A
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