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12 Aug 2021, 08:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:37) correct
35%
(01:48)
wrong
based on 176
sessions
History
Date
Time
Result
Not Attempted Yet
\(16^{7.5}÷8^{3.5}÷2^{7.5} =\)
(A) 2^12
(B) 2^14
(C) 2^15
(D) 2^16
(E) 2^27
(A) 2^12
(B) 2^14
(C) 2^15
(D) 2^16
(E) 2^27
12 Aug 2021, 08:26
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Solution:
We need the value of \(16^{7.5} ÷ 8^{3.5} ÷ 2^{7.5}\)
\(⇒ 16^{7.5} ÷ \frac{8^{3.5}}{2^{7.5}}\)
\(⇒ 16^{7.5} \times \frac{2^{7.5}}{8^{3.5}}\)
\(⇒ 2^{4\times 7.5} \times \frac{2^{7.5}}{2^{3\times 3.5}}\)
\(⇒ 2^{30} \times \frac{2^{7.5}}{2^{10.5}}\)
\(⇒ 2^{30+7.5-10.5}\)
\(⇒ 2^{27}\)
Hence the right answer is Option E.
We need the value of \(16^{7.5} ÷ 8^{3.5} ÷ 2^{7.5}\)
\(⇒ 16^{7.5} ÷ \frac{8^{3.5}}{2^{7.5}}\)
\(⇒ 16^{7.5} \times \frac{2^{7.5}}{8^{3.5}}\)
\(⇒ 2^{4\times 7.5} \times \frac{2^{7.5}}{2^{3\times 3.5}}\)
\(⇒ 2^{30} \times \frac{2^{7.5}}{2^{10.5}}\)
\(⇒ 2^{30+7.5-10.5}\)
\(⇒ 2^{27}\)
Hence the right answer is Option E.
12 Aug 2021, 08:54
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GMATWhizTeam, why is this not considered as (16^7.5÷8^3.5)÷(2^7.5)?
