Question

Calculati:a)3 la puterea101:9 la puterea50b)(3 la puterea 57 :9 la puterea 25 :3 la puterea 10):3 la puterea15
c)2x4x2 la puterea43 -2 la puterea 46 +[9 la puterea 74 : 3 la puterea43 -(3 la puterea 15)la puterea6]la puterea 0.

Answer 1

a)3¹°¹:9 ⁵°=3¹°¹:3¹°°=3¹°¹⁻¹°°=3¹=3
b)(3 ⁵⁷ :9 ²⁵ :3 ¹°):3 ¹⁵=(3 ⁵⁷ :3⁵° :3 ¹°):3 ¹⁵=3⁵⁷⁻⁵°⁻¹°⁻¹⁵=3⁻¹⁸


c)2x4x2 ⁴³ -2 ⁴⁶ +[9 ⁷⁴ : 3 ⁴³ -(3 ¹⁵)⁶]°=2x2²x2 ⁴³ -2 ⁴⁶ +1=2 ¹⁺²⁺⁴³ -2 ⁴⁶ +1=2⁴⁶-2⁴⁶+1=0+1=1

[9 ⁷⁴ : 3 ⁴³ -(3 ¹⁵)⁶]°=1 deoarece orice numar la puterea 0 este egal cu 1