kirtipreet6503 kirtipreet6503
  • 02-11-2018
  • Mathematics
contestada

The expression 7^n/7^5 simplifies to 7^p. If n = 18, what is the value of the exponent p? Show your work and explain how you found your answer.

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Аноним Аноним
  • 02-11-2018

When you divide two powers of the same base, you subtract the exponents:

[tex] \dfrac{a^b}{a^c} = a^{b-c} [/tex]

This means that, in your case,

[tex] \dfrac{7^n}{7^5} = 7^p \iff 7^{n-5} = 7^p \iff n-5 = p [/tex]

So, if [tex] n=18 [/tex], the equation becomes

[tex] 18-5 = p \iff p = 13 [/tex]

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