Question

14. Efectuați:
b). (4/9)^0-(4/9)^30:[(4/9)^4]^7
VA ROOG❤​

Answer 1

Răspuns:

Explicație pas cu pas:

$\bigg(\dfrac{4}{9}\bigg)^{0} - \bigg(\dfrac{4}{9}\bigg)^{30} : \bigg[\bigg(\dfrac{4}{9}\bigg)^{4}\bigg]^{7} = 1 - \bigg(\dfrac{4}{9}\bigg)^{30} : \bigg(\dfrac{4}{9}\bigg)^{4 \cdot 7} = 1 - \bigg(\dfrac{4}{9}\bigg)^{30} : \bigg(\dfrac{4}{9}\bigg)^{28} = 1 - \bigg(\dfrac{4}{9}\bigg)^{30-28} = 1 - \bigg(\dfrac{4}{9}\bigg)^{2} = 1 - \dfrac{16}{81} = \dfrac{81-16}{81} = \bf \dfrac{65}{81}$