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nuccioreggie one year ago What is p−m ⋅ pn equal to

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1. mathstudent55

Are -m and n exponents?

2. mathstudent55

$$\Large p^{-m} \cdot p^n$$

3. mathstudent55

If so, then to multiply powers with the same base, give the same base and add the exponents.

4. mathstudent55

The rule is: $$\Large a^m \cdot a^n = a^{m+n}$$

5. nuccioreggie

I did some and Got b

6. mathstudent55

You didn't post the choices, so I don't know if b is correct.

7. nuccioreggie

What is p−m ⋅ pn equal to? p−m − n p−m • n p−m ÷ n p−m + n

8. nuccioreggie

@mathstudent55

9. 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: $$\large p^{-m + n}$$

10. nuccioreggie

So D

11. mathstudent55

Correct. In choice b, they multiplied the exponents. That is not correct for this problem.

12. mathstudent55

D is the answer.

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