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If (7^4m)(343)=7^k, where k and m are integers, what is the
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18 Sep 2020, 10:00
18 Sep 2020, 10:00
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Question Stats:
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If \((7^{4m})(343)=7^k\), where k and m are integers, what is the value of m in terms of k ?
A. \(\frac{k-3}{4}\)
B. \(\frac{k-4}{3}\)
C. \(3k-4\)
D. \(4k-3\)
E. \(4k+3\)
A. \(\frac{k-3}{4}\)
B. \(\frac{k-4}{3}\)
C. \(3k-4\)
D. \(4k-3\)
E. \(4k+3\)
Re: If (7^4m)(343)=7^k, where k and m are integers, what is the
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18 Sep 2020, 10:00
18 Sep 2020, 10:00
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: If (7^4m)(343)=7^k, where k and m are integers, what is the
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18 Sep 2020, 19:45
18 Sep 2020, 19:45
1
we can write down de expression as:
\(7^{4m}7^{3}=7^{k}\)
and then, we are able to simplify the last expression in the following:
\(7^{4m + 3}=7^{k}\)
Finally, we can obtain the value of m in terms of k:
\(4m + 3 = k\)
\(m = \frac{(k-3)}{4}\)
\(7^{4m}7^{3}=7^{k}\)
and then, we are able to simplify the last expression in the following:
\(7^{4m + 3}=7^{k}\)
Finally, we can obtain the value of m in terms of k:
\(4m + 3 = k\)
\(m = \frac{(k-3)}{4}\)
