nuccioreggie
  • nuccioreggie
What is p−m ⋅ pn equal to
Mathematics
jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
Are -m and n exponents?
mathstudent55
  • mathstudent55
\(\Large p^{-m} \cdot p^n\)
mathstudent55
  • mathstudent55
If so, then to multiply powers with the same base, give the same base and add the exponents.

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mathstudent55
  • mathstudent55
The rule is: \(\Large a^m \cdot a^n = a^{m+n} \)
nuccioreggie
  • nuccioreggie
I did some and Got b
mathstudent55
  • mathstudent55
You didn't post the choices, so I don't know if b is correct.
nuccioreggie
  • nuccioreggie
What is p−m ⋅ pn equal to? p−m − n p−m • n p−m ÷ n p−m + n
nuccioreggie
  • nuccioreggie
mathstudent55
  • mathstudent55
You need to add the exponents. The exponents are -m and n. The sum of -m and n is: -m + n The answer is: \(\large p^{-m + n} \)
nuccioreggie
  • nuccioreggie
So D
mathstudent55
  • mathstudent55
Correct. In choice b, they multiplied the exponents. That is not correct for this problem.
mathstudent55
  • mathstudent55
D is the answer.

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