Question

calcule o valor das expressões?

a) (5².5³)²:5^8 =

b)(3^4.3^2)³:(3^4)^4=

c)(5^13:5^10)^2:5^4=

d) (3^7:3^4)^2 : 3^5=

Answer 1

Boa noite.

$a) (5^2.5^3)^2:5^8 = (25.125)^2 : 3125 = (3125)^2 : 3125 = 9765625 : 3125 = 3125$

$b)(3^4.3^2)^3:(3^4)^4= (81.9)^3 : (81)^4 = (729)^3 : (81)^4 = 387420489 : 43046721 = 9$

$c)(5^13:5^10)^2:5^4= (1220703125 : 9765625)^2 : 625 = (125)^2 : 625 = 15625 : 625 = 25$

$d) (3^7:3^4)^2 : 3^5= (2197 : 81)^2 : 243 = (27,12)^2 : 243 = 735,4944 : 243 = 3,026$

Bons estudos! :-)