Question

5
13
a decât
14
5 74
17
2
2
b
OT
3
89
Repede va rog!!!

Answer 1

Răspuns: $\green{\bf~\dfrac{8}{27} ~}$

Explicație pas cu pas:

$\bf \Bigg[\bigg(\dfrac{2}{3} \bigg)^5\Bigg]^4:\bigg(\dfrac{2}{3} \bigg)^{17}=\bigg(\dfrac{2}{3} \bigg)^{5\cdot4}:\bigg(\dfrac{2}{3} \bigg)^{17}=$

$\bf \bigg(\dfrac{2}{3} \bigg)^{20}:\bigg(\dfrac{2}{3} \bigg)^{17}=\bigg(\dfrac{2}{3} \bigg)^{20-17}=\bigg(\dfrac{2}{3} \bigg)^{3}=$

$\bf \dfrac{2^3}{3^3} =\green{\boxed{\bf~\dfrac{8}{27} ~}}$

$\red{\bf \underline{Formule~pentru~puteri}:}$

$\bf a^{0} = 1;$

$\bf (a^{n})^{m} = a^{n \cdot m};$

$\bf a^{n}\cdot a^{m} =a^{n+m};$

$\bf a^{n}: a^{m} =a^{n-m}$

==pav38==