Răspuns :
[tex]( \frac{2}{3} ) {}^{5} \times( \frac{3}{2} ) {}^{3} - ( \frac{1}{2} - \frac{1}{3} ) {}^{2} [/tex]
[tex]( \frac{2}{3} ) {}^{5} \times ( \frac{2}{3} ) {}^{ - 3} - ( \frac{1}{6} ) {}^{2} [/tex]
[tex]( \frac{2}{3} ) {}^{2} - \frac{1}{36} [/tex]
[tex] \frac{4}{9} - \frac{1}{36} = \frac{4 \times 4}{9 \times 4} - \frac{1}{36} = \frac{15}{36} [/tex]
[tex] \frac{15}{36} = \frac{5}{12} = \frac{10}{24} [/tex]
Răspuns:
Explicație pas cu pas:
2⁵/3⁵ * 3³/2³ - (3/6 - 12/6)² =
2⁵/2³ * 3³/3⁵ -(1/6)² =
2²/3² - 1/6² =
4/9 -1/36 =
(16 - 1)/36 =
15/36=
5/12
5/12 = 10/24
dar 10/24 =5/12
si 5/12=5/12 fractiile sunt echivalente
Succes !!