Question

2^6 * 4^7 * 8^8 = 2^x

Answer 1

2^6 x (2^2)^7 x (2^3)^8 = 2^x 
2^6 x 2^14 x 2^24 = 2^x 
2^(6+14+24) = 2^x 
2^44 = 2^x 
x = 44 

Answer 2

$2^6\cdot4^7\cdot8^8= \\ \\ 2^6\cdot(2^2)^7\cdot(2^3)^8= \\ \\ 2^6\cdot2^{14}\cdot2^{24}=2^{44} \\ \\ 2^x=2^{44} \\ \\ x=44$