Question

Efectuați următoarele calcule, scriind rezultatul sub forma unei puteri. Repede!!!!!! Dau coroana! ​

Answer 1

Răspuns:

$\bf c)~~\color{teal}\large\boxed{\bf \dfrac{\sqrt{2}}{108}}$

$\bf g)~~\color{Teal}\large\boxed{\bf \dfrac{5\sqrt{5}}{8}}$

Explicație pas cu pas:

Buna!

$\color{CC0000}\Large\boxed{\boxed{\bf \Large Formule:a^{-n}= \dfrac{1}{a^{n}};~~ \bigg(\dfrac{a}{b}\bigg)^{-n}= \bigg(\dfrac{b}{a}\bigg)^{n} }}$

$\it~~~~$

$\bf c)~(3\sqrt{2})^{-3}= \dfrac{1}{(3\sqrt{2})^{3}}= \dfrac{1}{27\cdot2\sqrt{2}}=\dfrac{1}{54\sqrt{2}}\cdot \dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2}}{54\cdot2}=\boxed{\boxed{\bf \dfrac{\sqrt{2}}{108}}}$

$\it~~$

$\bf g)~\bigg(\dfrac{2}{\sqrt{5}}\bigg)^{-3}=\bigg(\dfrac{\sqrt{5}}{2}\bigg)^{3}= \dfrac{(\sqrt{5})^{3} }{{2}^{3}}= \boxed{\boxed{\bf \dfrac{5\sqrt{5}}{8}}}$

PS: Daca esti pe telefon, te rog sa glisezi spre dreapta pentru a vedea rezolvarea completa

==pav38==