Question

aratati ca fractia(2/3)^5×(3/2)^3-(1/2-1/3)^2 este echivalenta cu 10/24

Answer 1

Răspuns

Explicație pas cu pas:

$\left(\dfrac{2}{3}\right)^5\cdot \left(\dfrac{3}{2}\right)^3-\left(\dfrac{1}{2}-\dfrac{1}{3}\right)^2= \\ \left(\dfrac{2}{3}\right)^5\cdot\left(\dfrac{2}{3}\right)^{-3}-\left(\dfrac{3-2}{6}\right)^2= \\ \left(\dfrac{2}{3}\right)^2-\left(\dfrac{1}{6}\right)^2=\\ \dfrac{4}{9}-\dfrac{1}{36}=\\\dfrac{4\cdot 4-1}{36} =\\\dfrac{15}{36}=\dfrac{5}{12}=\dfrac{10}{24}$

Answer 2

Răspuns

32\243×27\8-(3\6-2\6)²=4\9-(1\6)²=4\9-1\36=16\36-1\36=15\36 ;   10\24=15\36 ;  36×10=24×15=360

Explicație pas cu pas: