anonymous
  • anonymous
Factor and simplify the algebraic expression https://i.gyazo.com/a7909aa9524c6a673dc55292a2e30b32.png
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
https://i.gyazo.com/a7909aa9524c6a673dc55292a2e30b32.png
anonymous
  • anonymous
\[(x+3)^{(-1/5)}-(x+3)^{-6/5}\]
Astrophysics
  • Astrophysics
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Astrophysics
  • Astrophysics
So note that we get \[\frac{ 1 }{ (x+3)^{1/5} }-\frac{ 1 }{ (x+3)^{6/5} }\] by using \[x^{-n} = \frac{ 1 }{ x^n }\]
anonymous
  • anonymous
that's what i don't know how to do
Astrophysics
  • Astrophysics
You can simplify it now since we have two fractions \[\frac{ a }{ b } \pm \frac{ c }{ d } = \frac{ ad \pm bc }{ bd } \]
anonymous
  • anonymous
???
Astrophysics
  • Astrophysics
It's just algebra at this point
anonymous
  • anonymous
i'm confused with the (x+3)
Astrophysics
  • Astrophysics
\[\frac{ 1 }{ (x+3)^{1/5} }-\frac{ 1 }{ (x+3)^{6/5} } \implies \frac{ (x+3)^{6/5}-(x+3)^{1/5} }{ (x+3)^{1/5}(x+3)^{6/5} }\]
Astrophysics
  • Astrophysics
It's the same thing if you were using regular numbers
anonymous
  • anonymous
what do I do with the fractional exponents?
Astrophysics
  • Astrophysics
What about them
Astrophysics
  • Astrophysics
It just wants positive exponents
Astrophysics
  • Astrophysics
You can simplify it a bit more if you want
Astrophysics
  • Astrophysics
Use your exponent rules for denominator \[x^nx^m = x^{n+m}\]
anonymous
  • anonymous
but isn't it subtraction?
Astrophysics
  • Astrophysics
The denominator is being multiplied
anonymous
  • anonymous
can someone explain?
anonymous
  • anonymous
why is the denominator being multiplied?
anonymous
  • anonymous
someone help please
Astrophysics
  • Astrophysics
I showed you the algebra rule, that's all I used \[\frac{ a }{ b } \pm \frac{ c }{ d } = \frac{ ad \pm bc }{ bd } \]
Astrophysics
  • Astrophysics
b = (x+3)^(1/5) and d = (x+3)^(6/5) please try it yourself
anonymous
  • anonymous
that's exactly the part i don't get. What do I do with the (x+3) raised to the fractional exponent?
Astrophysics
  • Astrophysics
Sorry I'm not sure where you're confused
Astrophysics
  • Astrophysics
Can you draw it or use equation bar
anonymous
  • anonymous
all I have is \[\frac{ 1 }{ (x+3) }^{1/5}-\frac{1}{(x+3)}^{6/5}\]
anonymous
  • anonymous
oops the exponents are in the denominator
anonymous
  • anonymous
i don't know what to do after that
Astrophysics
  • Astrophysics
It's just like fractions the little rule I showed you is just how you do fractions normally, find common denominator and such..

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