Cum se calcula un nr ridicat la o putere fractionara? De ex. 5 la puterea 3/2 dar 5 la puterea - 3/2?

Răspuns :

5^3/2=²√5³=√125=5√5;

5^-3/2=²√5^-3=√(1/√5³)=√(1/125)=√1/√125=1/5√5=√5/25.

Formula in cazul dat:

a^b/2=²√a^b.

Formula generala:

a^m/n=ⁿ√a^m.

Bafta!