Question

Care din numerele urmatoare sunt patrate perfecte: 64 80 3 la puerea 5 , 3 la puterea 6,
2 la 4 , 15 la6,17 la 5.3 x(2a 4 + 2 la 5), 2 la4 + 3 la 2, 3 la5 + 3 la 6, 5 la6 + 7 x 5 la7, 7 la12 ,5 la9 , 6la 2n + 8 x 6 la 2n + 1 unde n este numar natural .
1 la 0 + 1 +2 + 2 la 2 +2 la 3+ 2 la 4 + 2 la 5 + 2 la 6 + 2 la 7?
Cu explicatii clare va rog.

Answer 1

√64=√8²=8
√80=4√5=2⁴×5
3⁵=243=√243=9√3
3⁶=729=√729=27√1=27
2⁴=16=√16=4√1=4
15⁶=15²×15²×15²=√11390625=3375√1=3375
17⁵=17³×17²=√1419857=289√17
3×(2⁴+2⁵)=3(16+32)=3×48=√144=12
2⁴+3²=16+9=√25=5
3⁵+3⁶=243+729=√972=18√3
5⁶+7×5⁷=15625+7 ×78125=562500= 750
7¹²=7³×7³×7³×7³=343×343×343×343=117649
5⁹=5³×5³×5³=1953125=625√5

1⁰+1+2+2²+2³+2⁴+2⁵+2⁶+2⁷=1+1+2+4+8+16+32+64+128=256