(2^2)^3 x (10^3)^2 = ???

\((2^2)^3*(10^3)^2=64000000\)

 

Let's break this problem down step by step. This is the original expression:

 

\((2^2)^3*(10^3)^2\)

 

Calculate what is in the parentheses first:
 

\(2^2=2*2=4\hspace{1cm}10^3=10*10*10=1000\)

 

Therefore, we have simplified to this point:
 

\((2^2)^3*(10^3)^2=4^3*1000^2\)

 

Calculate exponents before doing multiplication:

 

\(4^3=4*4*4=64\hspace{1cm}1000^2=1000*1000=1000000\)

 

We have simplified the equation to this now:

 

\((2^2)^3*(10^3)^2=4^3*1000^2=64*1000000\)

 

Finally, multiply 64 by a million and you get your answer:

 

\(64*1000000=64000000\)