Quandaries
and Queries 

My name is Melissa and I am taking a college course for elementary geometry teachers. I have come acrossed a problem that I am having problems with. The question is: How many ordered triples of positive intergers (xyz) satisfy (x[raised to the y])raised to the z = 64? ~raised to the means squared, tripled, etc.~ Any help you can give me would be greatly appreciated! Thank you so much!!! =) Melissa 

Hi Melissa, First find the prime factorization of 64. 64 = 2^{6}. Thus you want all x, y and z so that Penny 

