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Updated on: 08 Sep 2025, 08:38
Originally posted by Sajjad1994 on 02 Sep 2025, 07:26.
Last edited by Sajjad1994 on 08 Sep 2025, 08:38, edited 2 times in total.
Last edited by Sajjad1994 on 08 Sep 2025, 08:38, edited 2 times in total.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
66% (00:51) correct
33% (01:03) wrong based on 3 sessions
History
Date
Time
Result
Not Attempted Yet
07 Sep 2025, 13:56
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the right answer here should bc C.
3^3 = 27, thus option A is 27^27
Option A can thus be written as (3^3)^27 and since 27*3 =81, this is the same as 3^81. They are equal.
3^3 = 27, thus option A is 27^27
Option A can thus be written as (3^3)^27 and since 27*3 =81, this is the same as 3^81. They are equal.
Sajjad1994
Updated on: 21 Sep 2025, 04:16
Originally posted by Sajjad1994 on 21 Sep 2025, 04:16.
Last edited by Sajjad1994 on 21 Sep 2025, 04:16, edited 1 time in total.
Last edited by Sajjad1994 on 21 Sep 2025, 04:16, edited 1 time in total.
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Official Explanation
Since \(n\) equals \(3^3\), it equals, by definition, \(3 × 3 × 3 = 27.\) Then Quantity (A) can be written as n27, or as (33)27. The “power to a power” rule dictates that the exponents here are multiplied, and that in general (xm)n = xmn. Then (A) equals \(33×27 = 381,\) matching Quantity (B), so the quantities are equal, (C).
Answer: C
Since \(n\) equals \(3^3\), it equals, by definition, \(3 × 3 × 3 = 27.\) Then Quantity (A) can be written as n27, or as (33)27. The “power to a power” rule dictates that the exponents here are multiplied, and that in general (xm)n = xmn. Then (A) equals \(33×27 = 381,\) matching Quantity (B), so the quantities are equal, (C).
Answer: C
