a) 125³⁷ =(5³)³⁷=5¹¹¹
b) 35⁷⁵=35⁷⁵=5⁷⁵ x 7⁷⁵
c) 27⁷⁷ =(3³)⁷⁷=3²³¹
d) 343²¹⁵ =(7³)²¹⁵=7⁶⁴⁵
2. Aratati ca urmatoarele nr. sunt patrate perfecte:
a) 16x25 =2⁴x5²=(2²x5)²
b) 2¹⁸x3⁶=(2⁹ x3³)²
c) 25x 3¹⁸=(5x3⁹)²
d) 16x100=2⁴x10²=2⁶x5²=(2³x5)²
e) 4¹⁵x121¹⁷=(2²)¹⁵ x (11²)¹⁷=(2¹⁵x11¹⁷)²
f) 5¹⁴x7⁸x13²⁴=(5⁷x7⁴x13¹²)²
g) 3³⁵+3³⁴=3³⁴(3+1)=3³⁴ x4=(3¹⁷x2)²
h) 2²⁵-7x2²⁰=2²⁰(2⁴-7)=2²⁰(16-7)=2²⁰x9=(2¹⁰x3)²