Question

Please Help

Answer 1

with what

Answer 2

@kaitlinstumpp she has already posted it:)

Answer 3

@BloomLocke367

Answer 4

`Multiplying/Dividing exponents` (with same base: in my examples the 'base' is 'a')\(\LARGE\color{white}{ \\[0.6em] }\)
\(\Large\color{black}{ \displaystyle {\rm \color{red}{a}}^{\rm \color{blue}{b}} \times {\rm \color{red}{a}}^{\rm \color{green}{c}}= {\rm \color{red}{a}}^{{\rm \color{blue}{b}} + {\rm \color{green}{c}}} }\)
\(\LARGE\color{white}{ \\[0.6em] }\)
\(\Large\color{black}{ \displaystyle {\rm \color{red}{a}}^{\rm \color{blue}{b}} \div {\rm \color{red}{a}}^{\rm \color{green}{c}}= {\rm \color{red}{a}}^{{\rm \color{blue}{b}} - {\rm \color{green}{c}}} }\)

`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:
\(\bf\color{green}{\underline{\href{http:///www.mathplanet.com/education/algebra-1/exponents-and-exponential-functions/properties-of-exponents}{mathplanet.com}}}\)

\(\bf\color{blue}{\underline{\href{http:///hotmath.com/hotmath_help/topics/properties-of-exponents.html}{hotmath.com}}}\)

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)
\(\bf\color{darkgoldenrod}{\underline{\href{ https://www.google.com/search?safe=active&client=opera&q=properties+of+exponents&oq=properties+of+exponents&gs_l=serp.3..0i67j0i20j0l8.6151.9251.0.9683.23.13.0.10.10.0.96.904.13.13.0.msedr...0...1c.1.62.serp..0.23.940.joC9SpMBlDA }{google~~~it~~~yourself~!}}}\)

Answer 5

the first step one is wrong because you multiplied the exponents by two not added them.

Answer 6

Do you have any idea? I can help you.

Answer 7

Stop giving out answers, lets gain an understanding instead.
No, first step is fine!

Answer 8

step one is right @kaitlinstumpp because when you take a power to a power, you multiply them..

Answer 9

\(\large\color{black}{ \color{red}{{\rm b}}^{a}\div \color{red}{{\rm b}}^{-c}=\color{red}{{\rm b}}^{a-(-c)}=\color{red}{{\rm b}}^{a+c} }\)

Answer 10

look over the steps, once you know the exponential properties and tell me what you think.

Answer 11

okay

Answer 12

step two? @SolomonZelman @BloomLocke367

Answer 13

yes. do you know why?

Answer 14

not completely

Answer 15

step 2 is also fine

Answer 16

wait... I looked at it wrong. SolomanZelman is correct.

Answer 17

when you multiply you add the exponents that is why y has exponent -8, because
2+(-10)=8
and when you multiply x^6 times x^6 , you get x^(6+6)=x^(12)

Answer 18

Can you explain why it is step 3?

Answer 19

\(\large\color{black}{ \displaystyle \frac{ \color{red}{{\rm b}}^{a} }{\color{red}{{\rm b}}^{-c}} ~~\Rightarrow~~\color{red}{{\rm b}}^{a-(-c)}~~\Rightarrow~~\color{red}{{\rm b}}^{a+c}}\)

Answer 20

i think i get it

Answer 21

\(\large\color{black}{ \displaystyle \large\color{black}{ \displaystyle \frac{ \color{red}{{\rm b}}^{a} }{\color{red}{{\rm b}}^{-c}} ~~~\Rightarrow~~~\color{red}{{\rm b}}^{a+c}} }\)

And not,

\(\large\color{black}{ \displaystyle \large\color{black}{ \displaystyle \frac{ \color{red}{{\rm b}}^{a} }{\color{red}{{\rm b}}^{-c}} ~~~\cancel{\bcancel{\LARGE \Rightarrow}}~~~\color{red}{{\rm b}}^{a-c}} }\)

Answer 22

okay, what they did was when they divided