Question

I could really use some help,

What is p^−m ÷ p^n?

p^−m + n
p^−m ⋅ n (for sure this isn't it)
p^−m − n
p^−m ÷ n

Answer 1

The rules of exponents:

`Multiplying/Dividing exponents`

\(\Large\color{black}{ \displaystyle {\rm \color{red}{a}}^{\rm \color{blue}{b}} \times {\rm \color{red}{a}}^{\rm \color{green}{c}}= {\rm \color{red}{a}}^{{\rm \color{blue}{b}} + {\rm \color{green}{c}}} }\)
\(\LARGE\color{white}{ \left| \right| }\)
\(\Large\color{black}{ \displaystyle {\rm \color{red}{a}}^{\rm \color{blue}{b}} \div {\rm \color{red}{a}}^{\rm \color{green}{c}}= {\rm \color{red}{a}}^{{\rm \color{blue}{b}} - {\rm \color{green}{c}}} }\)


`Negative exponent property.`

\(\Large\color{black}{ \displaystyle\left( {\rm \color{red}{D}} \right)^{{\rm \color{green}{-c}}} = \frac{1}{ {\rm \color{red}{D}}^{\color{green}{\rm c}} } }\) \(\Huge\color{white}{ \left|\color{white}{\int^{0}_{3}} \right| }\)

those are the basic 3, but if you want all exponential properties, I can suggest you a couple of places:
\(\bf\color{green}{{\href{http:///www.mathplanet.com/education/algebra-1/exponents-and-exponential-functions/properties-of-exponents}{mathplanet.com}}}\) or, \(\bf\color{blue}{{\href{http:///hotmath.com/hotmath_help/topics/properties-of-exponents.html}{hotmath.com}}}\)

Or if you don't like any of them, then you can google all properties yourself (I apologize, but I'm not planning to make a tutorial in this post right now :P)

Answer 2

(( Only 2 sources, not 3, but ... ))

Answer 3

So you are dividing

\(\Large\color{black}{ \displaystyle {\rm \color{red}{p}}^{\rm \color{blue}{-m}} \div {\rm \color{red}{p}}^{\rm \color{green}{n}}= {\rm \color{red}{p}}^{?} }\)

Answer 4

So if it is mutiplication its going to equal its lesser for example multi=addition and division equals subtraction, So in this case it would be p^−m − n?

Answer 5

Yes, you would get,
p^(-m-n)

Answer 6

Thank you man, I will keep those links saved.

Answer 7

Anytime!