Question

Por favor me ajudem 2+2-¹+2-²

Answer 1

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Potência de expoente negativo

$\huge\boxed{\boxed{\boxed{\boxed{\sf\bigg(\dfrac{b}{a}\bigg)^{-n}=\bigg(\dfrac{a}{b}\bigg)^n}}}}$

$\large\boxed{\begin{array}{l}\underline{\rm c\acute alculos~auxiliares:}\\\sf 2^{-1}=\bigg(\dfrac{1}{2}\bigg)^1=\dfrac{1}{2}\\\sf 2^{-2}=\bigg(\dfrac{1}{2}\bigg)^2=\dfrac{1}{4}\\\underline{\rm soluc_{\!\!,}\tilde ao:}\\\sf 2+2^{-1}+2^{-2}=2+\dfrac{1}{2}+\dfrac{1}{4}\\\sf 2+2^{-1}+2^{-2}=\dfrac{8+2+1}{4}\\\sf 2+2^{-1}+2^{-2}=\dfrac{11}{4}\end{array}}\blue{\checkmark}$