Can someone please help,

Simplify:

Question

Can someone please help,

Simplify:

anonymous · Answer

$$\sqrt[3]{54(x ^{4}y ^{2})}$$

anonymous · Answer

hmm it says the answer is: $$3x\sqrt[3]{2xy ^{2}}$$

anonymous · Answer

Im just confused on the steps :S

amistre64 · Answer

with a cube root, you want to find things under it that have a multiplicity of 3

1.1.1 = 1
2.2.2 = 8
3.3.3 = 27
4.4.4 = 64
5.5.5 = 125

etcc

amistre64 · Answer

these can be factored, or pulled out

amistre64 · Answer

the variable can be "seen" since their exponents already tell us their multiplicity

anonymous · Answer

Because of cube root, you try to rewrite expression under the radical  in cubes if possible. So,
54x^4y^2=2*27*x^3*x*y^2=2*3^3*x^3*y^2
Then you can take cube root of 3^3 and x^3
3x cube root(2x*y^2)

anonymous · Answer

Oh ok, thanks a lot for your help everyone.

anonymous · Answer

You are welcome. You always can check with this website for answers or at least ideas http://www.wolframalpha.com/input/?i=%2854x%5E4+y%5E2+%29%5E%281%2F+3%29++