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.

Respuesta :

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]

Answer Link

Otras preguntas

What effect does the use of mixed Spanish and English have in this excerpt from "Freeway 280" by Lorna Dee Cervantes? Albaricosqueros cerezos, nogales... Viej
If a congressional committee wanted the basic provisions of a bill to pass , but disliked some of its features, it would most likely? A. Rep
3. The coating on the head of a match is highly flammable. When it burns, it releases a great deal of energy. However, before the match can burn, it must gain a
Helpppp I need helpp plesse
A baseball player hit a ball with an upward velocity of 46 ft/s. Its height in feet after t seconds is given by the function h= -16t^2+46t+6. What is the maximu
comment if you know the answer please
The mass of a jar of sugar is 1.9kg. What is the mass of 13 jars of sugar?
6/10 in simplest format
What does it mean when you have your period twice a month?
Which of the following is a good example of a child's responsibility