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Which of the following is equal to 8^24?
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14 Mar 2019, 10:33
14 Mar 2019, 10:33
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Which of the following is equal to \(8^{24}\) ?
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
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Which of the following is equal to 8^24?
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19 Mar 2019, 04:46
19 Mar 2019, 04:46
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Carcass wrote:
Which of the following is equal to \(8^{24}\) ?
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
\(8^{24} = (2^3)^{24} = 2^{72}\)
ELIMINATE A and E (since they have base 2, but a DIFFERENT exponent)
Now check the remaining answer choices...
B. \(4^{36}=(2^2)^{36}=2^{72}\)
PERFECT!
C. \(12^{12}\)
\(2^{72}\) is a product consisting of 2's ONLY
This means \(2^{72}\) is NOT divisible by 3
However, since 12 is divisible by 3, we know that \(12^{12}\) is divisible by 3
So, there's no way that \(12^{12}\) can equal \(2^{72}\)
ELIMINATE C
D. \(16^{18}=(2^4)^{18}=2^{72}\)
PERFECT!
F. \(32^{15}=(2^5)^{15}=2^{75}\)
ELIMINATE F
Answer: B, D
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Re: Which of the following is equal to 8^24?
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15 Jul 2019, 08:03
15 Jul 2019, 08:03
can u explain c indetail
