Question

1. Determinati partea intreaga a numarului real $\sqrt[3]{-41}$
2. Comparati a=$2^{51}$ si b=$3^{34}$

Answer 1

1.
(-4)³<-41<(-3)³
-4<∛(-41)<-3
[∛(-41)]=-4

2.
a=2⁵¹=(2³)¹⁷=8¹⁷
b=3³⁴=(3²)¹⁷=9¹⁷   ⇒  b>a