Question

Scrieti sub forma de puteri care au aceeasi baza:
a)$(\frac{4}{9} )^{5} si (\frac{8}{27})^{5}$
b)$[0,2(6)^{5}] si \frac{64}{3375}$

Answer 1

a)(4/9)^5=[(2/3)²]^5=(2/3)^10
(8/27)^5=[(2/3)³]^5=(2/3)^15

b)0,2(6)=(26-2)/90=24/90=12/45=4/15
0,2(6)]^5=(4/15)^5
64/3375=(2³x2³)/(3³x5³)=2³x(2/15)³