Question

using radical notation :

Answer 1

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

Answer 2

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 ? ^_^

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

lol, yeah :)