Question

Oblicz rozpisując:
((√3)³)²-((-√3)²)³=

√1/27 * √3 -(-½)^0=

3⁴- (3⁴√5/√125)=

√3*√6/√2=

Answer 1

((√3)³)²-((-√3)²)³=(√(3³))²-((-√(3²))³=(√27)²-((√9)³)=(√(27²))-(√(9³))=27-√(27*27)=27-27=27
lub
((√3)³)²-((-√3)²)³=(√3)⁶-(-√3)⁶=(√3)⁶-(√3)⁶)=(√3)⁶-(√3)⁶=0

√1/27 * √3 -(-½)^0=√[(1/27)*3] -1=√(1/81)-1=(1/9)-1=(1/9)-(9/9)=-8/9

3⁴- (3⁴√5/√125)=3⁴-(3⁴√(5:125))=3⁴-3⁴√(1/25)=3⁴-3⁴*(1/5)=3⁴(1-(1/5))=3⁴((5/5)-(1/5))=3⁴(4/5)=[4*3⁴]/5

√3*√6/√2= √(3*6)/√2=√18/√2=√(18/2)=√9=3