Question

Care este rezolvarea la:
[4^2*(-2)^5:8]^2:(-16^3)​

Answer 1

 

$\displaystyle\bf\\~\big[4^2\times (-2)^5:8\big]^2:(-16^3)=\\\\=\big[\big(2^2\big)^2\times (-2)^5:2^3\big]^2:\big(-\big(2^4\big)^3)\big=\\\\=\big[2^{2\times2}\times (-2)^5:2^3\big]^2:\big(-\big(2^4\big)^3)\big=\\\\=\big[2^4\times (-2^{5-2})\big]^2:\big(-2^{4\times3})=\\\\=\big[2^4\times (-2^3)\big]^2:(-2^{12})=\\\\=\big[-2^{4+3}\big]^2:(-2^{12})=\\\\=\big[-2^{7+3}\big]^2:(-2^{12})=\\\\=\big[-2^{10}\big]^2:(-2^{12})=\\\\=2^{10\times2}:(-2^{12})=\\\\=2^{20}:(-2^{12})=\\\\=-2^{20-12}=\\\\=-2^8$