Oblicz:
a) (0,8)⁴: (2⅔)⁴
B)(4½)³•(-⅔)³•(-2)³​



Odpowiedź :

Odpowiedź:

a)

(0,8)⁴: (2⅔)⁴  = (4/5 : 8/3)^4 = (4/5 * 3/8)^4 = (3/10)^4 = 81/10000 = 0,0081

B)

(4½)³•(-⅔)³•(-2)³​ = (9/2 * 2/3 * 2)³ = 6³ = 216

Szczegółowe wyjaśnienie:

A

[tex] \\ (0.8) {}^{4} \div (2 \frac{2}{3} ) {}^{4 } = (0.8 \div 2\frac{2}{3} ) {}^{4} = ( \frac{4}{5} \div \frac{8}{3} ) {}^{4} \\ \\ = ( \frac{4}{5} \times \frac{3}{8} ) {}^{4} = ( \frac{3}{10} ) {}^{4} = \frac{81}{10000} [/tex]

81

_____ = 0,0081

10000

B

[tex](4 \frac{1}{2} ) {}^{3} \times ( - \frac{2}{3} ) {}^{3} \times ( - 2) {}^{3} = \\ \\ = ( \frac{9}{2} \times \frac{2}{3} \times 2 ) {}^{3} = \\ \\ = (3 \times 2) {}^{3} = {6}^{3} [/tex]

6^3 = 216