Question

Calculati :
(8^2)^3 x 4^4 : 16^6

P.S : ^ = ridicat la puterea ...
x = inmultire

Answer 1

$(8^2)^3 \cdot 4^4 : 16^6= \\ \\ =8^6 \cdot 4^4 :16^6= \\ \\ =(2^3)^6 \cdot (2^2)^4 : (2^4)^6= \\ \\ =2^{18} \cdot 2^8: 2^{24}= \\ \\ =2^{18+8-24}= \\ \\ =2^2= \\ \\ =4.$

$De~retinut!~a^n \cdot a^m=a^{m+n},~a^n:a^m=a^{n-m}~si~(a^n)^m=a^{n \cdot m}. \\ \\ Acestea~sunt~proprietatiile~pe~care~le-am~folosit$

Answer 2

(8²)³ · 4^4 : 16^6=
8^6 · 256 :16777216262144 · 256 :
16777216
67108864 :16777216
=4