Question

(3×5^4)269×(3^4×5)^269÷(27×25)^269

Answer 1

(3×5^4)^269×(3^4×5)^269÷(27×25)^269 =

pentru rezolvarea acestui exercitiu ma ajut de urmatoarele formule :

a^m × b^m = ( a × b)^m

a^m : b^m = (a : b )^m

(3 × 5^4 × 3^4 × 5)^269 : ( 3^3 × 5^2)^269 =

( 3 × 3^4 × 5^4 × 5)^269 : ( 3^3 × 5^2)^269 =

( 3^5 × 5^5)^269 : (3^3 × 5^2)^269 =

( 3^5 : 3^3 × 5^5 : 5^2)^269 =

( 3^2 × 5^3)^269 =

( 9 × 125)^269 =

1 125^269
_________

a^m × a^n = a^(m + n)

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