# Properties of radicals exponents

• January 27th 2009, 09:06 AM
mj.alawami
Properties of radicals exponents
Q)
http://regentsprep.org/Regents/mathb/3B1/RatPo2.gif

How did you simplify the letters in this equation ,did you do a^3/3 and got a^1 as the product and did you do b^6/3 and got 2 or did you cube root 3 and got 1 and cube rooted 6 and got 2?

Thank you
• January 27th 2009, 09:47 AM
masters
Quote:

Originally Posted by mj.alawami
Q)

How did you simplify the letters in this equation ,did you do a^3/3 and got a^1 as the product and did you do b^6/3 and got 2 or did you cube root 3 and got 1 and cube rooted 6 and got 2?
$\sqrt[3]{-27a^3b^6}=(-3^3)^{\frac{1}{3}}(a^3)^{\frac{1}{3}}(b^6)^{\frac{ 1}{3}}=(-3^{\frac{3}{3}})(a^{\frac{3}{3}})(b^{\frac{6}{3}}) =-3ab^2$