Question

Qual é o valor da expressão
[1/2 + 1/4] ^-1 + 4^-2?
SUA RESPOSTA:
A) 65/48
O B) 66/48
C) 67/48
D) 68/48
E) 69/48​

Answer 1

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Potência de expoente negativo

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

$\Large\boxed{\begin{array}{l}\sf\bigg[\dfrac{1}{2}+\dfrac{1}{4}\bigg]^{-1}+4^{-2}\\\sf\bigg[\dfrac{2+1}{4}\bigg]^{-1}+\bigg(\dfrac{1}{4}\bigg)^2\\\sf\bigg[\dfrac{3}{4}\bigg]^{-1}+\dfrac{1}{16}\\\sf\dfrac{4}{3}+\dfrac{1}{16}\\\sf\dfrac{64+3}{48}\\\\\sf=\dfrac{67}{48}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~C}}}}\end{array}}$