#1**+1 **

1) One of the perfect square factors is 1.

To find the others, factor 46,656 into 2^{6} x 3^{6}.

2) Using just the twos, you can get this set of squares: {4, 16, 64}

3) Using just the threes, you can get this set of squares: {9, 81, 729}

4) Now, you can get another set of squares by choosing one number from the first set and multiplying it by one

number of the second set; a couple of possibilities are 4 x 9 = 36 and 64 x 81 = 5184. [Finish this step.]

Count all the answers from steps 1, 2, 3, and 4.

geno3141 Apr 24, 2020