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Which of the following is equal to
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25 Aug 2018, 14:39
25 Aug 2018, 14:39
Expert Reply
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Question Stats:
88% (01:32) correct
11% (01:40) wrong based on 44 sessions
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Which of the following is equal to \(\frac{10^{-8}25^{7}2^{16}}{20^{6}8^{-1}}\)?
(A) \(\frac{1}{5}\)
(B) \(\frac{1}{2}\)
(C) \(2\)
(D) \(5\)
(E) \(10\)
(A) \(\frac{1}{5}\)
(B) \(\frac{1}{2}\)
(C) \(2\)
(D) \(5\)
(E) \(10\)
Re: Which of the following is equal to
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19 Mar 2020, 15:38
19 Mar 2020, 15:38
This is one of the ones where a big calculator would help.
First flip the negative exponents from denominator to numerator and vice versa. Next note 25^7 is 5^2^7 or 5^14. The 8 you took to the numerator is 2^3. In the denominator you have 10^8, which is 5^8 * 2^8. 20^6 is 5^6 * 4^6, or 2^12. All should cross out to give you 1/2. Answer is B.
First flip the negative exponents from denominator to numerator and vice versa. Next note 25^7 is 5^2^7 or 5^14. The 8 you took to the numerator is 2^3. In the denominator you have 10^8, which is 5^8 * 2^8. 20^6 is 5^6 * 4^6, or 2^12. All should cross out to give you 1/2. Answer is B.
Re: Which of the following is equal to
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10 May 2020, 15:13
10 May 2020, 15:13
Also a key to remember is that for things like 20^6, you can break them into (5*4)^6 or 5^6(4^6) which simplifies to 2^12(5^6).
These rules are all a lot of these questions test.
These rules are all a lot of these questions test.
