Question

Aplicati regula de inmultire a puterilor cu acelasi exponent, scrieți sub forma unei singure puteri numerele:
a) 3¹⁶•7¹⁶
b) 7¹⁰•5¹⁰
c) 2³⁴•5³⁴•7³⁴
d) 5⁴•2⁴
e) 15¹²•11¹²
f) 6³⁰•7³⁰•2³⁰

Answer 1

Răspuns:

Explicație pas cu pas:

a^n x b^n = (a x b)^n

a) 3¹⁶•7¹⁶  = (3 x 7)^16 = 21^16

b) 7¹⁰•5¹⁰  = (7 x 5)^10 = 35^10

c) 2³⁴•5³⁴•7³⁴  = (2 x 5 x 7)^34 = 70^34

d) 5⁴•2⁴  = (5 x 2)^4 = 10^4

e) 15¹²•11¹²  = (15 x 11)^12 = 165^12

f) 6³⁰•7³⁰•2³⁰ = (6 x 7 x 2)^30 = 84^30