edandcindy edandcindy
  • 24-02-2018
  • Mathematics
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7^18/7^5 simplifies to 7^p is the value of p 3?

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creeds25
creeds25 creeds25
  • 24-02-2018
Given:
[tex] \frac{7^{18}}{7^5} =7^p[/tex]
Solving for p.
[tex] 7^{18-5}=7^p [/tex]
Simplify
[tex]7^{13}=7^p[/tex]
[tex]if a^{f(x)}=a^{g(x)}, \ then \ f(x)=g(x)[/tex]
We get
13=p
or
p=13

Answer: P=13
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