Question

6.[3^100:3^10+(3^5×3^14)^5:27^10+(4^30:4^29-1^70)^102:81^3]:(2^10:2^9+2^0)^90
Va rog repede!!! Mulțumesc!Va dau coroana și 100 de puncte va rig frumos din inima​

Answer 1

Explicație pas cu pas:

[3¹⁰⁰:3¹⁰ + (9⁵×3¹⁴)⁵:27¹⁰ + (4³⁰:4²⁹ - 1⁷⁰)¹⁰²:81³] : (2¹⁰:2⁹ + 2⁰)⁹⁰ =

= [3⁹⁰ + ((3²)⁵×3¹⁴)⁵:(3³)¹⁰ + (4 - 1)¹⁰²:(3⁴)³] : (2 + 1)⁹⁰

= [3⁹⁰ + (3¹⁰×3¹⁴)⁵:3³⁰ + 3¹⁰²:3¹²] : 3⁹⁰

= [3⁹⁰ + (3²⁴)⁵:3³⁰ + 3⁹⁰] : 3⁹⁰

= (3⁹⁰ + 3¹²⁰:3³⁰ + 3⁹⁰) : 3⁹⁰

= (3⁹⁰ + 3⁹⁰ + 3⁹⁰) : 3⁹⁰

= (3×3⁹⁰) : 3⁹⁰

= 3⁹¹ : 3⁹⁰

= 3