How does this happen? 5^16 * 2^14 = 5^2 * 10^14?

5^16 * 2^14 = 5^2 * 10^14 ;; divide by 5^2 [(x^m / x^n = x^(m-n)]
5^14 * 2^14 = 10^14 ;; looks obvious, if you write it [a^k * b^k = (a*b)^k]:
(5 * 2)^14 = 10^14.