Matematyka oblicz ile to

[tex]\large\boxed{\bold{a\big\, ^{-n}=\left(\frac1a\right)^n}}[/tex]
Zatem:
[tex]\bold{\left(\dfrac23-2\big\,^{-2}\right)^{-1}= \left(\dfrac23-\left(\dfrac12\right)^{2}\right)^{-1}= \left(\dfrac23-\dfrac14\right)^{-1}= \left(\dfrac8{12}-\dfrac3{12}\right)^{-1}=}\\\\\\\bold{= \left(\dfrac5{12}\right)^{-1}= \left(\dfrac{12}5\right)^1=2{,}4}[/tex]
Odpowiedź:
Szczegółowe wyjaśnienie:
(2/3-2^-2)^-1=((2/3-1/2)^2)^-1=(2/3-1/4)^-1=(8/12-3/12)^-1=(5/12)^-1=12/5=2 2/5=2,4