Bài 1:
1³ + 2³ = 1 + 8 = 9 = 3²
1³ + 2³ + 3³ = 1 + 8 + 27 = 36 = 6²
1³ + 2³ + 3³ + 4³ = 1 + 8 + 27 + 64 = 100 = 10²
Bài 3:
b) ($8^{2017}$ - $8^{2015}$ ):($8^{2014}$ .8)
= ($8^{2017}$ - $8^{2015}$ ):$8^{2015}$
= $8^{2017}$ :$8^{2015}$ - $8^{2015}$ :$8^{2015}$
= 8² - 1 = 63
d) ($2^{8}$ +$8^{3}$ ) : ($2^{5}$ .$2^{3}$ )
= ($2^{8}$ +$2^{9}$ ) : $2^{8}$
= $2^{8}$ : $2^{8}$ +$2^{9}$ : $2^{8}$
= 1 + 2 =3
c) (1³ + 2³ + $3^{4}$ +$4^{5}$ ).(1³ + 2³ + 3³ + 4³).($3^{8}$ - 81²)
= (1³ + 2³ + $3^{4}$ +$4^{5}$ ).(1³ + 2³ + 3³ + 4³).($3^{8}$ - $3^{4.2}$ )
= (1³ + 2³ + $3^{4}$ +$4^{5}$ ).(1³ + 2³ + 3³ + 4³).($3^{8}$ - $3^{8}$ )
= (1³ + 2³ + $3^{4}$ +$4^{5}$ ).(1³ + 2³ + 3³ + 4³).0
= 0
a) ($2^{17}$ + ... - $3^{15}$).($2^{4}$ - 4²)
= ($2^{17}$ + ... - $3^{15}$).(16 - 16)
= ($2^{17}$ + ... - $3^{15}$).0
= 0
