If 5^25 * 4^13 = 2 * 10^n, what is the value of n?  Choose the correct choice from the following answers: A) 11 B) 25 C) 22 D) 23 E) 32
My attempt:   5^(25) * 4^(13) = 2*10^p   5^(25) * 2 ^ (26) = 2 * (2*5)^p   5^(25) * 2 ^ (26) = 2 * 2^(p) * 5^(p)   5^(25) * 2 ^ (26) = 2^(p+1) * 5^(p)   =&gt; (p+1) = 26   =&gt; p = 25   Answer: 21 (25)
<result>B</result>
If 5^25 * 4^13 = 2 * 10^n, what is the value of n?