Question

Aplicando as propriedades das potências encontre o valor de N :

Answer 1

Resposta: 2^{33}

Explicação passo a passo:

$N = (8^5\times 8^7\times 8)\div(4^3 \div 4)^2\\\\N = [(2^3)^5\times (2^3)^7\times 2^3]\div [(2^2)^3\div 2^2]^2\\\\N =(2^{15}\times 2^{21}\times 2^3)\div(2^6\div2^2)^2\\\\N = 2^{15+21+3}\div 2^{2(6-2)}\\\\N = 2^{39}\div2^6 = 2^{39-6}\\\\\\\therefore N = 2^{33}$