Question

O algarismo da unidade da terça parte de 3^2018 é:A) 7B) 1C) 9D) 3E) 4

Answer 1

O algarismo da unidade da terça parte de 3^2018 é:A) 7B) 1C) 9D) 3E) 4

3^2018 =

407.992.508.469.955.674.808.192.495.316.171.411.693.972.674.315.218.072.385.465.350.352.282.597.909.474.141.984.493.873.748.178.925.962.899.222.007.637.200.553.538.639.071.229.537.795.773.090.534.333.493.000.517.042.299.191.880.948.874.568.775.218.256.327.736.335.073.228.234.557.926.417.113.950.037.041.143.816.636.828.677.700.048.229.457.617.143.524.251.455.486.312.209.728.762.316.906.440.984.125.192.580.489

407.992.508.469.955.674.808.192.495.316.171.411.693.972.674.315.218.072.385.465.350.352.282.597.909.474.141.984.493.873.748.178.925.962.899.222.007.637.200.553.538.639.071.229.537.795.773.090.534.333.493.000.517.042.299.191.880.948.874.568.775.218.256.327.736.335.073.228.234.557.926.417.113.950.037.041.143.816.636.828.677.700.048.229.457.617.143.524.251.455.486.312.209.728.762.316.906.440.984.125.192.580.489 ÷ 3 =

135.997.502.823.318.558.269.397.498.438.723.803.897.990.891.438.406.024.128.488.450.117.427.532.636.491.380.661.497.957.916.059.641.987.633.074.002.545.733.517.846.213.023.743.179.265.257.696.844.777.831.000.172.347.433.063.960.316.291.522.925.072.752.109.245.445.024.409.411.519.308.805.704.650.012.347.047.938.878.942.892.566.682.743.152.539.047.841.417.151.828.770.736.576.254.105.635.480.328.041.730.860.163


$\dfrac{3}{1} =\dfrac{ 407.992.508.469.955.674.808.192.495.316.171.411.693.972.674.315.218.072.385.465.350.352.282.597.909.474.141.984.493.873.748.178.925.962.899.222.007.637.200.553.538.639.071.229.537.795.773.090.534.333.493.000.517.042.299.191.880.948.874.568.775.218.256.327.736.335.073.228.234.557.926.417.113.950.037.041.143.816.636.828.677.700.048.229.457.617.143.524.251.455.486.312.209.728.762.316.906.440.984.125.192.580.489}{X} \\ 3X = 1 * 407.992.508.469.955.674.808.192.495.316.171.411.693.972.674.315.218.072.385.465.350.352.282.597.909.474.141.984.493.873.748.178.925.962.899.222.007.637.200.553.538.639.071.229.537.795.773.090.534.333.493.000.517.042.299.191.880.948.874.568.775.218.256.327.736.335.073.228.234.557.926.417.113.950.037.041.143.816.636.828.677.700.048.229.457.617.143.524.251.455.486.312.209.728.762.316.906.440.984.125.192.580.489 \\ 3X = 407.992.508.469.955.674.808.192.495.316.171.411.693.972.674.315.218.072.385.465.350.352.282.597.909.474.141.984.493.873.748.178.925.962.899.222.007.637.200.553.538.639.071.229.537.795.773.090.534.333.493.000.517.042.299.191.880.948.874.568.775.218.256.327.736.335.073.228.234.557.926.417.113.950.037.041.143.816.636.828.677.700.048.229.457.617.143.524.251.455.486.312.209.728.762.316.906.440.984.125.192.580.489 \\ X =\dfrac{ 407.992.508.469.955.674.808.192.495.316.171.411.693.972.674.315.218.072.385.465.350.352.282.597.909.474.141.984.493.873.748.178.925.962.899.222.007.637.200.553.538.639.071.229.537.795.773.090.534.333.493.000.517.042.299.191.880.948.874.568.775.218.256.327.736.335.073.228.234.557.926.417.113.950.037.041.143.816.636.828.677.700.048.229.457.617.143.524.251.455.486.312.209.728.762.316.906.440.984.125.192.580.489}{3} \\ X = 135.997.502.823.318.558.269.397.498.438.723.803.897.990.891.438.406.024.128.488.450.117.427.532.636.491.380.661.497.957.916.059.641.987.633.074.002.545.733.517.846.213.023.743.179.265.257.696.844.777.831.000.172.347.433.063.960.316.291.522.925.072.752.109.245.445.024.409.411.519.308.805.704.650.012.347.047.938.878.942.892.566.682.743.152.539.047.841.417.151.828.770.736.576.254.105.635.480.328.041.730.860.163$

RESPOSTA : Letra (D) 3