Question

${2}^{10} \times {4}^{12} \times {8}^{14} \div {16}^{14}$

Answer 1

${2}^{10} \times {4}^{12} \times {8}^{14} : {16}^{14} = \\ \\ {2}^{10} \times { {(2}^{2}) }^{12} \times { {(2}^{3}) }^{14} : { {(2}^{4}) }^{14} = \\ \\ {2}^{10} \times {2}^{2 \times 12} \times {2}^{3 \times 14} : {2}^{4 \times 14} = \\ \\ {2}^{10} \times {2}^{24} \times {2}^{42} : {2}^{56} = \\ \\ {2}^{10} \times {2}^{24} \times {2}^{42} : {2}^{ - 56} = \\ \\ {2}^{10 + 24 + 42 - 56} = \\ \\ {2}^{76 - 56} = \\ \\ {2}^{20}$