Question

Calculați: 2¹⁰:[(2³⁷•2⁴⁷:2⁵⁰):4¹⁵]+2⁸:[(2⁴³•2⁵³:2⁶⁰):4¹⁶]=​

Answer 1

$2^{10}:[(2^{37}\cdot 2^{47}:2^{50}):4^{15}]+2^{8}:[(2^{43}\cdot 2^{53}:2^{60}):4^{16}]= \\ =2^{10}:(2^{34}:2^{30})+2^8:(2^{36}:2^{32})= \\ =2^{10}:2^4+2^8:2^4=2^{6}+2^4=(2^2+1)\cdot 2^4=5 \cdot 16=\boxed{\bold{80}}$