What is the value of 4^(10)*8^(20)*16^(30)? Express your answer in the form a^b, where a and b are positive integers such that a is the least possible positive integer.
+6 4^(10)*8^(20)*16^(30)
= (2^2)^10 * (2^3)^20 * (2^4)^30
= 2^(2 * 10) * 2^(3 * 20) * 2^(4 * 30)
= 2^20 * 2^60 * 2^120
= 2^(20 + 60 + 120)
= 2^200
This is the first time I have posted an answer here. Please let me know if I'm doing this right :)
+118609 Hi Teja2,
It is nice to meet you.
It is easier for me to answer myself than it is for me to check your answer.
So that is the only reason I am answering here
\(4^{10}*8^{20}*16^{30}\\ =2^{20}*2^{60}*2^{120}\\ =2^{200}\)
there you go, if you got it wrong then I did too. 
Give yourself a point!
