Question

Scrie ca putere:
a)4^12•2^13
b)3^13•9^6
c)25^10:5^15
d)8^20:4^30​

Answer 1

a) 4^12•2^13=

(2^2)^12•2^13=

2^24•2^13=

2^37

b)3^13•9^6=

3^13•(3^2)^6=

3^13•3^12=

3^25

c)25^10:5^15=

(5^2)^10:5^15=

5^20:5^15=

5^5

d)8^20:4^30=

(2^3)^20:(2^2)^30=

2^60:2^60=

2^0=

1

Answer 2

Răspuns:

Explicație pas cu pas:

a)

4¹² x 2¹³ = (2²)¹² x 2¹³ = 2⁽²ˣ¹²⁺¹³⁾ = 2⁽²⁴⁺¹³⁾ = 2³⁷

b)

3¹³ x 9⁶ = 3¹³ x (3²)⁶ = 3¹³ x 3⁽²ˣ⁶⁾ = 3⁽¹³⁺¹²⁾ = 3²⁵

c)

25¹⁰ : 5¹⁵ = (5²)¹⁰ : 5¹⁵ = 5⁽²ˣ¹⁰⁾ : 5¹⁵ = 5⁽²⁰⁻¹⁵⁾ = 5⁵

d)

8²⁰ : 4³⁰ = (2³)²⁰ : (2²)³⁰= 2⁽³ˣ²⁰⁾ : 2⁽²ˣ³⁰⁾=2⁶⁰ : 2⁶⁰ = 2⁽⁶⁰⁻⁶⁰⁾=2⁰=1