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Scrieti sub forma de putere rezultatul calculului:(2^6×4^3×8^2)^5:16^3

Răspuns :

(2^6×4^3×8^2)^5:16^3=
=[2^6×(2^2)^3×(2^3)^2]^5:16^3=
=(2^6×2^6×2^6)^5:16^3=
=(2^18)^5:16^3=
=2^90:(2^4)^3=
=2^90:2^12=
=2^78
(2^6×4^3×8^2)^5:16^3=
[2^6 × (2^2)^3 × (2^3)^2]^5:(2^4)^3=
[2^6 × 2^6 × 2^6]^5:2^12=
(2^6+6+6)^5:2^12=
(2^18)^5:2^12=
2^90:2^12 = 2^90-12=2^78