1. anonymous

i am posting it now

2. anonymous

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3. 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

4. anonymous

You have to forgive me, i truly dont know much about exponents and im so lost

5. anonymous

Oh, now i get it. Tahnk you

6. Nnesha

sure ?? it's okay i can give u example if you don't understand :-)

7. anonymous

I really do. thanks a lot

8. Nnesha

$\huge\rm \sqrt[\color{Red}{3}]{x^\color{blue}{4}}=x^\frac{\color{blue}{ 4 }}{ \color{ReD}{3} }$index becomes denominator of fraction

9. mathstudent55

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10. 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 $\huge\rm (x^n)^m = x^{m \times n}$

11. Nnesha

according to the exponent rule you can multiply 1/4 by 2$\huge\rm (\color{blue}{(a^5b^3)}^\frac{ 1 }{ 4})^\color{ReD}{2} = \color{blue}{(a^5b^3)}^{(\frac{ 1 }{ 4 } \times 2)}$

12. Nnesha

let me know if u have any question :=)