Question

Sa se calculeze: a) 2 la puterea 5×4la puterea 13×8 la puterea 50 =
b) 10 la puterea 62: 100 la puterea 30 =
c) 3 la puterea 6 × 27 la puterea 20 : 9 la puterea 33 =
d) 27 la puterea 86 : 9 la piterea 40 =
e) 125 la puterea 14 × 5 la puterea 7: 5la puterea 5 =
f) 27 la puterea 10 × 81 la puterea 2 : 3 la puterea 38 =
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Answer 1

a) 2⁵×4¹³×8⁵⁰ = 2⁵×(2²)¹³×(2³)⁵⁰=2⁵×2²⁶×2¹⁵⁰=2¹⁸¹
b) 10⁶²: 100³⁰= 10⁶²:(10²)³⁰=10⁶²:10⁶⁰=10²=100
c) 3⁶ × 27²⁰ : 9³³ =3⁶ × (3³)²⁰ ÷ (3²)³³=3⁶ × 3⁶⁰ ÷ 3⁶⁶=3⁶⁶÷ 3⁶⁶=1
d) 27⁸⁶÷ 9⁴⁰ =(3³)⁸⁶÷ (3²)⁴⁰=3²⁵⁸÷3⁸⁰=3¹⁷⁸
e) 125¹⁴ × 5⁷: 5⁵ = (5³)¹⁴ × 5²=5⁴² × 5²=5⁴⁴
f) 27¹⁰ × 81² : 3³⁸ = (3³)¹⁰× (3⁴)²÷3³⁸=3³⁰× 3⁸÷3³⁸=3³⁸÷3³⁸=1