anonymous
  • anonymous
Please help with liberal arts math I will give a medal
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
i am posting it now
anonymous
  • anonymous
|dw:1443967787598:dw|
Nnesha
  • Nnesha
you can convert radical to an exponent form \[\huge\rm \sqrt[\color{Red}{n}]{x^\color{blue}{m}}=x^\frac{\color{blue}{ m }}{ \color{ReD}{n} }\]index becomes denominator of fraction

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anonymous
  • anonymous
You have to forgive me, i truly dont know much about exponents and im so lost
anonymous
  • anonymous
Oh, now i get it. Tahnk you
Nnesha
  • Nnesha
sure ?? it's okay i can give u example if you don't understand :-)
anonymous
  • anonymous
I really do. thanks a lot
Nnesha
  • Nnesha
\[\huge\rm \sqrt[\color{Red}{3}]{x^\color{blue}{4}}=x^\frac{\color{blue}{ 4 }}{ \color{ReD}{3} }\]index becomes denominator of fraction
mathstudent55
  • mathstudent55
|dw:1443968374439:dw|
Nnesha
  • Nnesha
alright let's solve ur question\[\huge\rm (\color{Red}{\sqrt[4]{a^5 b^3}})^2\] first solve the red part we can convert radical to an exponent \[\huge\rm ( (a^5 b^3)^\frac{ 1 }{ 4 })^2\] both variable a and b are re raising to the 1/4 power now apply the exponent rule multiply the exponents \[\huge\rm (x^n)^m = x^{m \times n}\]
Nnesha
  • Nnesha
according to the exponent rule you can multiply 1/4 by 2\[\huge\rm (\color{blue}{(a^5b^3)}^\frac{ 1 }{ 4})^\color{ReD}{2} = \color{blue}{(a^5b^3)}^{(\frac{ 1 }{ 4 } \times 2)}\]
Nnesha
  • Nnesha
let me know if u have any question :=)

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