Question

Scrie ca putere: a) 412. 213, b) 313.96; c) 2510 : 515, d) 820 : 430 ​

Answer 1

Răspuns:

a) 4¹² · 2¹³ = (2²)¹² · 2¹³ =  2²ˣ¹² · 2¹³ = 2²⁴ · 2¹³ = 2²⁴⁺¹³ = 2³⁷

b) 3¹³ · 9⁶ = 3¹³ · (3²)⁶ = 3¹³ · 3²ˣ⁶ = 3¹³ · 3¹² = 3¹³⁺¹² = 3²⁵

c) 25¹⁰ : 5¹⁵ = (5²)¹⁰ : 5¹⁵ = 5²⁰ : 5¹⁵ = 5²⁰⁻¹⁵ = 5⁵

d) 8²⁰ : 4³⁰ = (2³)²⁰ : (2²)³⁰ = 2³ˣ²⁰ : 2²ˣ³⁰ = 2⁶⁰ : 2⁶⁰ = 1

Answer 2

Răspuns:

a) 4¹²·2¹³=(2²)¹²·2¹³=2²ˣ¹²·2¹³=2²⁴·2¹³=2²⁴⁺¹³=2³⁷

b) 3¹³·9⁶=3¹³·(3²)⁶=3¹³·3²ˣ⁶=3¹³·3¹²=3¹³⁺¹²=3²⁵

c) 25¹⁰:5¹⁵=(5²)¹⁰:5¹⁵=5²⁰:5¹⁵=5²⁰⁻¹⁵=5⁵

d) 8²⁰:4³⁰=(2³)²⁰:(2²)³⁰=2³ˣ²⁰:2²ˣ³⁰=2⁶⁰:2⁶⁰=2⁶⁰⁻⁶⁰=2⁰= 1

a^m · a^n = a^(m+n)

a^m : a^n = a(m-n)

(a^m)^n = a^(m·n)