anonymous
  • anonymous
Simplify. n^6 · n^5 ÷ n^4 · n^3 ÷ n^2 · n
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
whatever is multiplied, keep those terms in NUMERATOR, \(\large n^6n^5n^3n\) whatever is divided, keep those terms in DENOMINATOR, \(\large n^4n^2\) now simplify them separately.
anonymous
  • anonymous
so i take n^6n^5n^3 and times them together
hartnn
  • hartnn
yeah, use this: \(\large x^a.x^b=x^{a+b}\) so, what is \(\large n^6n^5n^3n=....?\)

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More answers

anonymous
  • anonymous
i got n^90 but i dont think thats right
hartnn
  • hartnn
you don't multiply the exponents, you ADD the exponents... try again?
anonymous
  • anonymous
n^15
hartnn
  • hartnn
YES ! :)
hartnn
  • hartnn
now, denominator ?
anonymous
  • anonymous
is it 4+2 or 4*2
hartnn
  • hartnn
when you multiply the bases, the exponents always gets ADDED, so it'll be 4+2 :)
anonymous
  • anonymous
so n^6
hartnn
  • hartnn
yup, now you have n^15/n^6 right ? know whqat to do next ?
anonymous
  • anonymous
i almost wanna say add the exponents or is it subtract
hartnn
  • hartnn
when bases get multiply , you ADD the exponents, but when bases get DIVIDED, you \(\color{green}{SUBTRACT}\) the exponents, so subtract :) \(\large \dfrac{x^a}{x^b}=x^{a-b}\)
anonymous
  • anonymous
so the answer is n^9
hartnn
  • hartnn
you are \(\huge \checkmark\) :)
anonymous
  • anonymous
XD thank you for your help
hartnn
  • hartnn
\[ \begin{array}l\color{red}{\text{w}}\color{orange}{\text{e}}\color{#e6e600}{\text{l}}\color{green}{\text{c}}\color{blue}{\text{o}}\color{purple}{\text{m}}\color{purple}{\text{e}}\color{red}{\text{ }}\color{orange}{\text{^}}\color{#e6e600}{\text{_}}\color{green}{\text{^}}\color{blue}{\text{}}\end{array} \]

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