Question

Aplicind formulele (aⁿ)ˣ = aⁿˣ , a ∈ R , m , n ∈ N* si (√a)²= a, a ∈ R₊ , calculati :
a) (√2)⁶ .
b) (√3)⁴ .
c) (√0,5)⁴ .
d) (√0,1)⁸ .

Answer 1

a) (√2)⁶ = (√2³)²=2³=8 ;
b) (√ 3)⁴ = (√3²)²=3²=9 ;
c) (√ 0,5)⁴ = 0,5² = 0,25 ;
d) (√0,1)³ = (√0,1² * √0,1) = 0,1√0,1=0,1* √(1/10)  ;