243:3^4 625:5^3 7^5:343 100000:10^3 11^5:121 243:3^3:3 4^8:64:16

`243:3^4=3^5:3^4=`$3^{5-4}$`=3^1=3`

`625:5^3=5^4:5^3=`$5^{4-3}$`=5^1=5`

`7^5:343=7^5:7^3=`$7^{5-3}$`=7^2`

`100000:10^3=10^5:10^3=`$10^{5-3}$`=10^2`

`11^5:121=11^5:11^2=` $11^{5-2}$`=11^3`

`243:3^3:3=3^5:3^3:3^1=` $3^{5-3-1}$`=5^1=5`

`4^8:64:16=4^8:4^3:4^2=` $4^{8-3-2}$`=4^3`