Hi can anyone help me with this?

20^2 x 8^4 x 125 (x meaning multiply)

I have to write in the simplest index notation.
Is there a trick to rewriting the bases in terms of their prime factors?
Or is it all trial and error until you come up with the right combination of numbers???? PLEASE HELP

1 answer

20^2 = 5^2*2^4
8^4 = 2^12
125 = 5^3

so 20^2 * 8^4 * 125
= (5^5)(2^16)