## anonymous 5 years ago using radical notation :

1. anonymous

$\sqrt[3]{54m ^{9}n ^{5}}$ simplify

2. anonymous

alright let's take it a step at a time :) 54 = 9 x 6 = 3x3x3x2, so : $54 =( 3^3 )(2)$ $m^9 = (m^3)(m^3)(m^3)$ so you can write it down as : $m^9 = (m^3)^3$ and $n^5 = (n^3)(n^2)$ now let's write these down under the cubic root ^_^ : $\sqrt[3]{(3)^3(2)(m^3)^3(n)^3(n)^2}$ now we can take the ones that have a cubic power out , so the answer is : $= 3m^3n^3\sqrt[3]{2n^2}$ understand it ? ^_^

3. anonymous

sorry it should be :$3m^3n \sqrt[3]{2n^2}$ :)

4. anonymous

what happend to the extra 3 that was after (m^3) ? cancelled out?

5. anonymous

you have a cubic root right? so m^3's power which was also another(3) was cancelled ^_^

6. anonymous

lol, yeah :)