Question

Scrieti sub forma de putere rezultatul calcului:(2^6×4³×8²)^5÷16³

Answer 1

(2^6*4^3*8^2)^5/16^3=(64*64*64)^5/4096=(64^3)^5/64^2=64^15/64^2=64^13

Answer 2

(2⁶×4³×8²)⁵ : 16³=
=[2⁶×(2²)³×(2³)²]⁵ : (2⁴)³=
=(2⁶×2⁶×2⁶)⁵ : 2¹²=
= (2⁶⁺⁶⁺⁶)⁵ : 2¹²=
= (2¹⁸)⁵ : 2¹²=
= 2⁹⁰ : 2¹² =
= 2⁷⁸