Question

Calculati inversul numarului.............. varooog ajutati-ma!!!!!!!!!!!!!!!!

Answer 1

Răspuns:

(5/4)⁻²⁺⁶ₓ(5/4)⁶=(5/4)¹⁰;  inversul (4/5)¹⁰

Explicație pas cu pas:

Answer 2

$\Big(-\dfrac{5}{4}\Big)^{-2}:\Big(-\dfrac{5}{4}\Big)^{-6}\cdot \left[\Big(-\dfrac{5}{4}\Big)^2\right]^3 = \\ \\ = \Big(-\dfrac{5}{4}\Big)^{-2}\cdot \Big(-\dfrac{5}{4}\Big)^{6}\cdot \Big(-\dfrac{5}{4}\Big)^{2\cdot 3} = \\ \\ = \Big(-\dfrac{5}{4}\Big)^{-2}\cdot \Big(-\dfrac{5}{4}\Big)^{6}\cdot \Big(-\dfrac{5}{4}\Big)^{6} = \\ \\ = \Big(-\dfrac{5}{4}\Big)^{-2+6+6} =\Big(-\dfrac{5}{4}\Big)^{10} = \Big(\dfrac{5}{4}\Big)^{10} \\ \\ \Rightarrow \text{Inversul este: }\Big(\dfrac{4}{5}\Big)^{10}$