prin c se rezolva adica cum nu raspunsul dar vreu sa ma invat sa il rezolv
![Prin C Se Rezolva Adica Cum Nu Raspunsul Dar Vreu Sa Ma Invat Sa Il Rezolv class=](https://ro-static.z-dn.net/files/d6f/f5162e8fa283bf0b2e77d1677bd7cf85.png)
Răspuns:
Explicație pas cu pas:
efectuam mai inatai 'ridicarile la putere" si radicalii
9^(-1) =1/9
3^(-3)=1/3³=1/27
√18=√(9*2)=√9*√2=3√2
efectuam impartirile , reprezentate prin liniile de fractie
(1/9):(1/27) =(1/9) *(27/1) =3
3√2:√2=3
efectuam scaderea
3-3=0
[tex]\it \Big(\dfrac{a}{b}\Big)^{-1}=\dfrac{b}{a}\\ \\ \\ \Big(\dfrac{a}{b}\Big)^{-3}= \Big[\Big(\dfrac{a}{b}\Big)^{-1}\Big]^3=\Big(\dfrac{b}{a}\Big)^3=\dfrac{b^3}{a^3}\\ \\ \\ 9^{-1}=\Big(\dfrac{9}{1}\Big)^{-1}=\dfrac{1}{9}\\ \\ 3^{-3}=\Big[\Big(\dfrac{3}{1}\Big)^{-1}\Big]^3=\Big(\dfrac{1}{3}\Big)^3=\dfrac{1}{27}[/tex]
[tex]\it\dfrac{9^{-1}}{3^{-3}}-\dfrac{\sqrt{18}}{\sqrt2}=\dfrac{\dfrac{1}{9}}{\dfrac{1}{27}}-\sqrt{\dfrac{18}{2}}=\dfrac{1}{9}:\dfrac{1}{27}-\sqrt9=\dfrac{1}{9}\cdot\dfrac{27}{1}-3=\dfrac{27}{9}-3=3-3=0[/tex]