How do you tell whether a number is a perfect square from the exponents of its prime factorization? Explain why this works.

Answer 1

if it is a perfect square, all of its prime powers will be even.

Since if you have

(2^a 3^b 5^c ...)^2

all the exponents are doubled.

Answer 2

Why does this work though???

Answer 3

i go yo som

Answer 4

I can tell this works because all the exponents are even, all the exponents are doubled like in a perfect square: 2 ² = 4 and 9 ² = 81.

Answer 5

The first thing I did was put a new battery on the back door of my house so that it was ready for the day and then it would go back on and then it wouldn’t be a bad idea for the battery and I had a new charger for my phone

Answer 6

I'm sorry, but it seems like this is not related to the previous question about perfect squares. Is there something else I can assist you with?