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If 10^a*10^b*10^c=1,000,000 and a,b,and c
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30 Nov 2022, 08:44
30 Nov 2022, 08:44
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Question Stats:
70% (01:00) correct
30% (01:48) wrong based on 10 sessions
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If \(10^a*10^b*10^c=1,000,000\) and a,b,and c are different positive integers, then \(10^a+10^b+10^c=\)
A. 1011
B. 1100
C. 1101
D. 1110
E. 1111
A. 1011
B. 1100
C. 1101
D. 1110
E. 1111
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Re: If 10^a*10^b*10^c=1,000,000 and a,b,and c
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30 Nov 2022, 23:01
30 Nov 2022, 23:01
1
Expert Reply
Solving the given equation, we have:
10^(a + b + c) = 10^6
a + b + c = 6
Since a, b and c are different positive integers, they must be 1, 2, and 3 (in any order). For example, if a = 1, b = 2 and c = 3, 10^a + 10^b + 10^c = 10 + 100 + 1000 = 1110.
Answer: D
10^(a + b + c) = 10^6
a + b + c = 6
Since a, b and c are different positive integers, they must be 1, 2, and 3 (in any order). For example, if a = 1, b = 2 and c = 3, 10^a + 10^b + 10^c = 10 + 100 + 1000 = 1110.
Answer: D
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Re: If 10^a*10^b*10^c=1,000,000 and a,b,and c
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14 Jan 2023, 22:57
14 Jan 2023, 22:57
1
Given that \(10^a*10^b*10^c=1,000,000\) and a, b, and c are different positive integers and we need to find the value of \(10^a+10^b+10^c=\)
\(10^a*10^b*10^c=10^6\)
=> \(10^{a + b +c}=10^6\)
=> a + b + c = 6
Since, a, b, c are distinct positive integers so they will take values from 1, 2, and 3
=> \(10^a+10^b+10^c\) = \(10^1+10^2+10^3\) = 10 + 100 + 1000 = 1110
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Exponents
\(10^a*10^b*10^c=10^6\)
=> \(10^{a + b +c}=10^6\)
=> a + b + c = 6
Since, a, b, c are distinct positive integers so they will take values from 1, 2, and 3
=> \(10^a+10^b+10^c\) = \(10^1+10^2+10^3\) = 10 + 100 + 1000 = 1110
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Exponents
