Yeah, this way is easier to compare as well,

2^100= 2^(4*25)= 16^25

and 3^25.

Therefore, 2^100 > 3^25 as 16^25 > 3^25.

I'm def not a math surgeon but I do find such things intriguing...

Mathematical Mind Bender

Last week I drove my ICE car 8 miles using 0.17 gallons of gasoline, which yields 47.058823529411 miles per gallon.

Yesterday I drove my EV car 56 miles using 11.9 kwh of electricity, which yields 4.7058823529411 miles per kwh.

🤯 😯 #[2]