👤

Calculați folosind regulile de calcul cu puteri:a)[(3/7)^8]^5÷(3/7)^17;b)[(5/9)^4]6÷(5/9)^11c)(2/5)51÷[(2/5÷[(2/5)7]^3.​

Răspuns :

102533

Răspuns:

a)  (3/7)²³

b) (5/9)¹³

c) (2/5)⁷¹

Explicație pas cu pas:

a) [(3/7)⁸]⁵: (3/7)¹⁷ = (3/7)⁸ˣ⁵⁻¹⁷ = (3/7)⁴⁰⁻¹⁷ = (3/7)²³

b) [(5/9)⁴]⁶: (5/9)¹¹ = (5/9)⁴ˣ⁶⁻¹¹ = (5/9)²⁴⁻¹¹ = (5/9)¹³

c) (2/5)⁵¹: {[(2/5:[(2/5)⁷]³} = (2/5)⁵¹ :[(2/5):(2/5)⁷ˣ³] =

= (2/5)⁵¹ : [(2/5) :(2/5)²¹] =  (2/5)⁵¹ : [(2/5) ·(5/2)²¹] =

=  (2/5)⁵¹ : (5/2)²⁰ =  (2/5)⁵¹ ·(2/5)²⁰ = (2/5)⁵¹⁺²⁰ = (2/5)⁷¹