How do you simplify ${(4^{6})}^{2}$ $(4^6)^2$ ?

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Answer 1 · 2016-06-08T10:46:02

${(4^{6})}^{2} = 4^{12} = 16777216$ $(4^6)^2=4^12=16777216$

WE use two simple formulas here - one $a^n=axxaxxaxx....xxa$ , where $a$ is multiplied $n$ times ant two $(a^m)^n=a^(mn)$

Hence, $(4^6)^2=4^(6xx2)=4^12$

= $4xx4xx4xx4xx4xx4xx4xx4xx4xx4xx4xx4=16777216$

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