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[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 !!