Question

[ 3 la puterea o 100 : 3 la puterea 10 + (9 la puterea 5 * 3 la puterea 14 ) totul la puterea 5 : 27 la puterea 10 + (4 la puterea 30 : 4 la puterea 29 - 1 la puterea 70 ) totul la 102 : 81 la puterea 3 ] :( 2 la puterea 10 : 2 la puterea 9 + 2 la puterea 0 ) totul la 90


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Answer 1

$3^{100-10} +((3 ^{2} ) ^{5} *3^{ 14} )^{5 } :27^{10 } +(4^{30 -29 } -1)^{ 102} :(3 ^{4}) ^{3 } ):(2^{10 -9 } +2^{0 } )^{90 }$
$3^{100} :3 ^{10} +(9 ^{5} *3^{ 14} )^{5 } :27^{10 } +(4^{30 } :4^{29 } -1)^{ 102} :81^{3 } ):(2^{10 } :2^{9 } +2^{0 } )^{90 }$
$3^{90} +(3 ^{10} *3^{ 14} )^{5 } :(3 ^{3}) ^{10 } +(4 -1)^{ 102} :3 ^{12 } ):(2 +1 )^{90 } =$
$[3^{90} +(3 ^{10+14} )^{5 } :3 ^{30 } +3^{ 102} :3 ^{12 } ]:3^{90 } =$$[3^{90} +(3 ^{29} )^{5 } :3 ^{30 } +3^{ 102-12 } ]:3^{90 } =$
$[3^{90} +3 ^{24*5 } :3 ^{30 } +3^{ 90 } ]:3^{90 } =$
$[3^{90} +3 ^{120 } :3 ^{30 } +3^{ 90 } ]:3^{90 } =$
$[3^{90} +3 ^{120 -30 } +3^{ 90 } ]:3^{90 } =$
$[3^{90} +3 ^{90 } +3^{ 90 } ]:3^{90 } =$
$3^{90} (1 +1 +1 ):3^{90 } =$
$=3$