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Which of the following options is the approximation of [m]9^9[/m] [m]1
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27 Jan 2021, 06:23
27 Jan 2021, 06:23
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Question Stats:
76% (00:55) correct
23% (02:48) wrong based on 21 sessions
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Which of the following options is the approximation of \(9^9\) \(11^{11}\)?
(A) \(10^{12}\)
(B) \(10^{14}\)
(C) \(10^{16}\)
(D) \(10^{20}\)
(E)\( 10^{99}\)
Kudos for the right answer and explanation
(A) \(10^{12}\)
(B) \(10^{14}\)
(C) \(10^{16}\)
(D) \(10^{20}\)
(E)\( 10^{99}\)
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following options is the approximation of [m]9^9[/m] [m]1
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27 Jan 2021, 07:20
27 Jan 2021, 07:20
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Carcass wrote:
Which of the following options is the approximation of \(9^9\) \(11^{11}\)?
(A) \(10^{12}\)
(B) \(10^{14}\)
(C) \(10^{16}\)
(D) \(10^{20}\)
(E)\( 10^{99}\)
Kudos for the right answer and explanation
(A) \(10^{12}\)
(B) \(10^{14}\)
(C) \(10^{16}\)
(D) \(10^{20}\)
(E)\( 10^{99}\)
Kudos for the right answer and explanation
\(9^9 \times 11^{11}\) \(= 9^{9} \times 11^{9} \times 11^{2}\)
\(= 99^{9} \times 11^{2}\)
\(≈ 100^{9} \times 10^{2}\)
\(≈ (10^2)^{9} \times 10^{2}\)
\(≈ 10^{18} \times 10^{2}\)
\(≈ 10^{20}\)
Answer: D
Re: Which of the following options is the approximation of [m]9^9[/m] [m]1
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22 Oct 2024, 01:05
22 Oct 2024, 01:05
1
=9^9 *11^11
=10^9* 10 ^11
=10^20
I think this is also sufficient.
Answer D
=10^9* 10 ^11
=10^20
I think this is also sufficient.
Answer D
