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Positive exponents.2) (22). 2)

1 Answer

6 votes

To find the result we are going to use the following rule:


(a^m)^n=a^(mn)

and


a^m\cdot a^n=a^(m+n)

Then:


\begin{gathered} ((2^2)^4\cdot2^3)^4=(2^8\cdot2^3)^4 \\ =(2^(11))^4 \\ =2^(44) \end{gathered}

Therefore the result is:


2^(44)

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