Re: Friday Puzzle -- Parity digit
I couldn't figure out anyway to do it but longhand so here is what I came up with
(2^100 + 3^200)^300
(1,267,650,600,228,229,401,496,703,205,376 + 265,613,988,875,874,769,338,781,322,035,799,626,829,233,452,653,394,495,974,574,961,739,092,490,901,302,182,994,384,699,044,011)^300
(265,613,988,875,874,769,338,781,322,035,799,626,829,233,452,653,394,495,974,574,961,740,360,141,501,530,412,395,881,402,249,377)^300
18,848,777,148,474,786,945,031,077,496,653,812,240,276,185,900,089,169,270,186,556,989,462,577,320,615,760,667,586,487,729,201,085,090,595,717,907,262,723,498,365,136,622,258,031,468,995,924,381,713,372,364,739,828,932,649,069,775,267,738,336,189,084,074,404,807,906,822,450,825,180,245,192,602,901,753,616,275,005,683,477,902,020,315,888,880,696,909,273,144,019,222,976,034,154,218,398,782,096,509,414,146,476,487,421,364,691,739,269,919,552,070,689,369,375,875,763,779,881,661,522,531,883,487,554,003,765,003,329,602,852,133,644,011,748,462,039,424,876,141,254,101,454,984,977,757,335,996,743,693,903,458,459,917,541,529,127,648,109,138,823,593,009,186,046,768,490,193,449,284,665,141,205,936,621,886,557,480,208,117,512,970,061,813,643,568,250,123,411,902,407,127,003,978,487,362,499,839,403,827,390,548,389,781,112,417,918,614,764,497,934,412,774,557,355,800,117,661,712,567,704,228,320,105,609,448,120,362,834,261,424,409,053,271,591,940,028,216,184,836,784,947,006,639,386,769,089,582,914,866,476,897,861,033,196,639,907,242,936,529,331,028,141,821,043,824,097,824,634,529,578,312,908,955,086,158,776,541,307,083,446,120,987,871,763,891,886,029,655,880,912,721,179,670,826,243,187,480,612,582,364,423,323,476,863,722,723,553,939,052,825,415,167,702,223,321,032,380,937,932,444,268,230,901,730,822,405,521,866,732,774,508,375,346,541,859,758,798,080,806,067,664,280,957,796,702,286,831,827,484,539,353,159,590,625,305,349,815,008,614,961,571,031,449,424,050,398,621,305,716,699,580,045,105,073,675,682,054,208,942,173,830,000,557,708,516,856,610,953,007,122,948,601,868,394,224,375,799,549,011,207,664,645,411,118,803,350,514,450,185,633,915,179,684,732,296,560,513,390,617,066,271,852,214,598,333,308,010,621,186,585,298,749,390,433,126,077,837,418,316,098,787,183,959,809,178,498,551,624,226,854,160,013,725,035,968,485,935,023,902,730,534,901,505,167,537,353,955,168,769,954,992,843,799,689,002,183,411,853,319,449,758,286,173,244,649,412,371,015,502,005,600,350,328,560,688,217,179,996,279,100,284,881,874,668,994,226,183,613,062,113,788,717,856,872,138,516,259,996,410,931,452,927,311,364,665,435,166,472,735,503,525,699,218,350,190,892,080,676,049,426,100,656,477,437,320,470,826,070,252,972,287,429,036,052,641,505,536,044,745,415,018,499,008,582,038,774,818,300,489,748,655,047,217,034,639,334,054,852,744,944,926,590,582,642,078,092,406,209,507,123,192,253,044,408,819,628,317,689,234,754,911,181,541,321,695,094,089,840,408,542,783,710,353,235,214,288,230,975,538,236,997,744,353,024,149,411,560,533,325,150,592,627,557,555,723,960,673,246,470,642,045,710,473,853,682,547,123,727,388,780,494,792,134,418,841,386,197,807,112,533,003,374,874,517,028,211,971,531,628,909,693,076,705,040,846,271,560,637,440,591,118,403,363,583,443,413,454,591,676,540,988,343,675,481,034,199,992,960,485,038,432,052,550,501,134,544,303,811,941,570,522,105,744,171,913,296,138,381,784,426,500,206,193,754,175,748,805,344,869,487,076,435,167,683,916,883,706,850,629,269,316,497,315,353,448,411,404,866,592,524,082,886,170,596,353,406,498,494,150,432,113,459,497,166,150,097,359,657,822,235,308,988,570,618,216,286,444,762,847,300,245,449,078,685,291,009,385,618,956,709,230,263,220,222,221,277,797,702,859,000,240,974,737,175,318,538,050,480,377,290,401,933,163,404,944,486,489,387,425,766,655,513,309,605,724,793,892,330,989,943,768,629,818,493,218,904,538,893,272,678,068,300,275,220,342,535,590,758,797,994,943,769,961,068,958,842,788,285,749,514,886,798,183,089,351,373,202,444,564,420,377,570,749,505,538,469,156,848,903,554,882,217,011,457,395,239,716,297,019,619,502,036,027,200,070,942,964,260,168,952,247,371,630,298,943,272,849,012,245,660,880,708,547,391,661,011,567,474,068,069,615,565,381,043,026,684,555,180,709,023,274,491,909,140,878,538,543,468,495,562,679,508,113,077,554,871,938,091,256,483,477,370,914,968,634,022,716,351,689,584,532,348,670,013,778,913,135,624,922,245,441,221,195,474,970,024,920,234,051,631,897,292,879,854,446,349,685,550,841,832,446,719,959,069,928,371,008,312,910,856,173,825,215,590,688,135,414,448,036,877,659,811,109,390,453,099,308,089,690,925,908,800,991,687,264,092,572,911,457,667,798,291,000,707,124,165,955,179,460,801,410,437,074,708,632,036,214,584,550,860,891,358,496,312,364,626,285,958,746,335,074,146,266,557,104,963,796,370,716,680,876,550,555,966,328,281,715,635,170,334,376,500,266,723,301,331,809,524,468,114,682,346,121,328,480,729,892,942,538,866,938,155,609,028,953,318,573,481,433,910,498,354,356,121,583,327,704,790,769,023,841,425,543,778,959,093,547,564,905,073,555,345,377,191,148,585,983,534,495,309,883,332,438,304,753,801,162,910,801,650,602,007,540,304,595,489,402,425,528,593,754,891,514,309,969,871,339,408,474,682,181,978,829,318,587,685,226,959,202,428,515,800,284,757,314,654,070,187,537,193,876,987,302,932,246,415,656,342,884,741,092,358,557,511,770,301,690,582,970,163,727,413,773,678,797,936,207,672,680,080,598,916,390,415,028,966,090,739,121,889,739,978,608,975,700,090,575,014,680,371,486,858,357,552,305,150,197,796,950,0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Now adding all of these digits up I get 128754 which adding the digits equates to 27 which adding the digits equates to 9. So that is my answer 9.