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(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)*(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5+2^5)=2^n,那么n=?

题目详情
(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)*(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5+2^5)=2^n,那么n=?
▼优质解答
答案和解析
[(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)]*[(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5+2^5)]=2^n
[4* (4^5)]/[3* 3^5] *[ (6* 6^5)/(2* 2^5)]=2^n
(4/3)(4/3)^5 *[ 3* (6/2)^5 ]=2^n
4[ (4/3)^5 * 3^5 ] =2^n
4.4^5 =2^n
2^12=2^n
n=12