Question

Calculati :a) (√8) la puterea 2 x (√2) la puterea 4 
b) (√27) la puterea 10 : (3√3 ) la puterea 8 
c) (3√2) la puterea 12 : (-√18) la puterea 12 
d) (-2√3) 11 : (√12) la puterea 10

Answer 1

a) ( √8)² · (√2)⁴ = 8 - (√2)²·(√2)² = 8 ·2·2 = 8 · 4 = 32
b) ( √27)¹⁰ : ( 3√3)⁸ =] ( √27)²·(√27)²· (√27)²· (√27)²· (√27)²] : [ (3√3)²· ( 3√3)²· (3√3)² · (3√3)² ] = ( 27·27·27·27·27) : [ ( 9·3) · ( 9·3) · ( 9·3) · ( 9·3)] =
     = 27⁵ : 27⁴ = 27^5 - 4 = 27
c) ( 3√2)¹² : ( - √18) ¹² = ( 3√2)¹² : ( - √2·3²) ¹² = ( 3√2)¹² : ( - 3√2)¹² = - 1
d) ( - 2√3)¹¹ : ( √12)¹⁰ = ( - 2√3)¹¹ : ( 2√3) ¹⁰ = ( - 2√3)¹ = - 2√3
Sper ca ti-am fost de ajutor!