Question

qual o resto da divisão de 5^21 por 127

Answer 1

${5}^{21} \div 127 \\ 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 = {5}^{7} = 78.125 \\ 78.125 \times 5 \times 5 \times 5 \times 5 \times 5 = {5}^{12} = 244.140.625 \\ 244.140.625 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 = {5}^{18} = 3.814.697.265.625 \\ 3.814.697.265.625 \: \times 5 \times 5 \times 5 = {5}^{21} = 476.837.158.203.125$
5^(21) = 476,837,158,203,125
5^(21) ÷ 127
Quociente = 3.754.623.292.937
Resto = 126