Explicație pas cu pas:
a) 4⁷= (2²)⁷= 2¹⁴
2¹⁴:2¹⁰= 2⁴
b) 4¹⁰= (2²)¹⁰= 2²⁰
8⁷= (2³)⁷= 2²¹
2¹⁵×2²⁰×2²¹= 2⁵⁶
c) 9¹⁵= (3²)¹⁵= 3³⁰
3³⁰×3⁷= 3³⁷
d) 4²³= (2²)²³= 2⁴⁶
2⁵¹:2⁴⁶= 2⁵
e) 8⁷= (2³)⁷= 2²¹
4¹⁰= (2²)¹⁰= 2²⁰
2²¹:2²⁰×2¹⁷=
2¹×2¹⁷= 2¹⁸
f) 27¹⁰= (3³)¹⁰= 3³⁰
9²⁰= (3²)²⁰= 3⁴⁰
3³⁰×3¹⁵:3⁴⁰=
3⁴⁵:3⁴⁰= 3⁵
h) 12= 2²×3 => 12⁷= 2¹⁴×3⁷
(2¹⁴×3⁷) : (2¹⁰×3⁵)=
2⁴×3²= 144
i)
(2¹⁴×3²⁰)²:(2²⁵×3³⁹)=
(2²⁸×3⁴⁰):(2²⁵×3³⁹)=
2³×3= 24
[tex]j)( {4}^{n} \times {3}^{2n + 1} ) \div ( {2}^{2n} \times {9}^{n) =} [/tex]
[tex]( {2}^{2n} \times {3}^{2n} \times {3}^{1} ) \div ( {2}^{2n} \times {3}^{2n} )[/tex]
= 3
Sper ca te am ajutat!