[tex]\displaystyle\bf\\8=2^3\\\\4=2^2\\\\8^2=\Big(2^3\Big)^2=2^{3\times2}=2^6\\\\4^3=\Big(2^2\Big)^3=2^{2\times3}=2^6\\\\2^6 = 2^6\\\\\implies~8^2=4^3[/tex]
