Question

calculati nr.de cifre zecimale ptr.a si b
a=0.2 la puterea 100*25 la puterea 50 si b=0.25 la puterea 25*0.04 la puterea 25

Answer 1

a=(0,2)¹⁰⁰•25⁵⁰

=(0,2)¹⁰⁰ • (5²)⁵⁰

=(0,2)¹⁰⁰ • 5¹⁰⁰

=(0,2 •5) ¹⁰⁰

= 1¹⁰⁰

=1      => a are 0 zecimale

b=(0,25)²⁵•(0,04)²⁵

=(25/100)²⁵ • (4/100)²⁵

=(100/10000)²⁵

=1/100²⁵

=1/10⁵⁰

10⁵⁰ are 50 de zerouri =>   b are   50 de zecimale