Question

calculati numarul de cifre zecimale pentru a si b:a=0,2¹⁰⁰×25⁵⁰ si b=0,25²⁵×0,04²⁵​

Answer 1

a=1
b=0
sper ca te am ajutat!

Answer 2

Explicație pas cu pas:

$a = 0.2^{100} \times {25}^{50} \\ = 0.2^{2 \times 50} \times {25}^{50} \\ =( {0.2}^{2})^{50} \times 25^{50} \\ = (0.4 \times 25)^{50} \\ = {1}^{50} = 1$

$b = {0.25}^{25} \times {0.04}^{25} = (0.25 \times 0.04)^{25}=0.01^{25} = (10 ^{- 2})^{25} = {10}^{ - 50}$

b are 50 de zecimale