If 5^27 * 4^14 = 2 * 10^n, what is the value of n?
Choose the correct option: A) 11 B) 21 C) 22 D) 23 E) 27
My attempt:   5^(27) * 4^(14) = 2*10^p   5^(27) * 2 ^ (28) = 2 * (2*5)^p   5^(27) * 2 ^ (28) = 2 * 2^(p) * 5^(p)   5^(27) * 2 ^ (28) = 2^(p+1) * 5^(p)   =&gt; (p+1) = 28   =&gt; p = 27   Answer: 27 (27)
<result>E</result>
If 5^27 * 4^14 = 2 * 10^n, what is the value of n?