A trending math Olympiad question.

A Math Olympiad question is solved and explained in a detailed way using the laws of indices or exponentials.#matholympiadproblem #exponential

[francisamewode]

You are doing great. God richly bless you.

[RyanLewis-Johnson-wqxs]

Every base and exponent can be put in standard notation.

[deept]

I don't understand how the "solution" is simpler than the starting expression. I would rather go the exact opposite way

[aaquib]

am i the only one that feels 2^22 x 3^33 looks more simplified that 108^11

[JohnAmbruz]

Finally someone who can do obvious things quickly.

[ndivhuwomaseko]

With you maths is nothing .... thanks mam

[carystrunk]

That was spectacular! It looks like you do Math Olympiad problems just for fun!

[RyanLewis-Johnson-wqxs]

Input
2^22×3^33 = 23316389970546096340992
Result
True
Left hand side
2^22 3^33 = 23316389970546096340992
Right hand side
23316389970546096340992 = 23316389970546096340992

[chaabomed]

Great solution simpler than mine...but I'll share it with you anyway :D
2^22 x 3^33 = 2^22 x 3^22 x 3^11 (a^b x a^c = a^(b+c)
= 6^22 x 3^11 (a^b x c^b = (ac)^b
= 6^11 x 6^11 x 3^11
= 6^11 x 18^11
= 108^11