Question

Rezolvarea calculului 16 la puterea 4•4 la puterea 10• 64 la puterea 5

Answer 1

${16}^{4} \cdot {4}^{10} \cdot {64}^{5} = \\ \\ {( {4}^{2}) }^{4} \cdot {4}^{10} \cdot {( {4}^{3} )}^{5} = \\ \\ {4}^{8} \cdot {4}^{10} \cdot {4}^{15} = \\ \\ {4}^{(8 + 10 + 15)} = {4}^{33}$

Answer 2

   
[tex]\displaystyle\\ 16^4\cdot 4^{10}\cdot 64^5 = \\\\ =\Big(2^4\Big)^4\cdot \Big(2^2\Big)^{10}\cdot \Big(2^6\Big)^5 = \\\\ =2^{4\times4}\cdot 2^{2\times10}\cdot 2^{6\times5} = \\\\ =2^{16}\cdot 2^{20}\cdot 2^{30} =2^{16+20+30}=\boxed{\bf 2^{66}} [/tex]