How can you write (10^2)^4 as a single power of ten?

Answer 1

by using the rules of exponents:
(10^2)^4
= 10^8

or, do it the tedious way:
(10^2)^4
= (100)^4
= (100)(100)(100)(100)
= 100,000,000
= 10^8 , I counted 8 zeros

Answer 2

(10^a)^b = 10^ab
so
10^8
try (2^2)^3
I think 2^6 which is 64
is that 4^3 ?? Yes :)