If 5^11 * 4^6 = 2 * 10^n, what is the value of n?  Choose the correct choice from the following choices.
A) 11  B) 21  C) 22  D) 23  E) 32
My attempt:   5^(11) * 4^(6) = 2*10^p   5^(11) * 2 ^ (12) = 2 * (2*5)^p   5^(11) * 2 ^ (12) = 2 * 2^(p) * 5^(p)   5^(11) * 2 ^ (12) = 2^(p+1) * 5^(p)   =&gt; (p+1) = 12   =&gt; p = 11   11nswer: 11 (11)
<result>A</result>
If 5^11 * 4^6 = 2 * 10^n, what is the value of n?