SOLUTION: Please help me solve this( To me, Complicated question) ! Your detailed explanation are very much appreciated! :D : Given that 441=3^2x7^2 and 1005=3x5x67, Find the smallest possi

Question 938361: Please help me solve this( To me, Complicated question) ! Your detailed explanation are very much appreciated! :D :
Given that 441=3^2x7^2 and 1005=3x5x67, Find the smallest possible whole number K for which
A) 1005k x 441 is a perfect square
B) 1005 X 441K is a perfect cube
My working:
a) (3 x 5 x 67)k x (3^2x7^2) = (3x3 ^2x7^2x5x67)k
=(3^3 x 7^2x5x67) k
And then I'm stuck...... Please hhelp as soon as possible!! Keep on thinking hard but still cant solve D:

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

For it to be a perfect square, all the factors need to have a exponent that is a multiple of 2.

.
.
.
For the factors to be cubed, the exponents must be multiples of 3.

3 is already a multiple.
5 needs
7 needs
67 needs

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