Simplify (20^3) ^9: 400^12 400^27 20^27 20^12

the answer would be 20^27

Step-by-step explanation:

when raising an exponent to an exponent (with parenthesis), simply multiply the exponents;

or to prove it, use expanded form:

(20*20*20) * (20*20*20) * (20*20*20) * (20*20*20) * (20*20*20) * (20*20*20) * (20*20*20) * (20*20*20) * (20*20*20) = 20^27

*you are multiplying 20 by itself 27 times