Espressioni

Qualche consiglio:

1) Inizia sempre i calcoli dalle parentesi tonde, poi le quadre e così via

2) Dai la precedenza a moltiplicazioni e divisioni 

3) Abbi ben presente le proprietà delle potenze 

Se hai dubbi chiedi pure 

😃👋🏻

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$\small \left[\left(\dfrac{4}{3}+3-\dfrac{1}{6}+\dfrac{1}{2}\right) : \dfrac{7}{6}\right]^2·\dfrac{1}{24}-\dfrac{1}{24}+\left[\left(\dfrac{1}{2}\right)^3\right]^5 : \left(\dfrac{1}{8}\right)^4=$

$\small =\left[\left(\dfrac{8+18-1+3}{6}\right)·\dfrac{6}{7}\right]^2·\dfrac{1}{24}-\dfrac{1}{24}+\left(\dfrac{1}{2}\right)^{3·5}·8^4=$

$\small =\left[\dfrac{\cancel{28}^4}{\cancel6_1}·\dfrac{\cancel6^1}{\cancel7_1}\right]^2·\dfrac{1}{24}-\dfrac{1}{24}+\left(\dfrac{1}{2}\right)^{15}·(2^3)^4=$

$\small =\left[\dfrac{4}{1}·\dfrac{1}{1}\right]^2·\dfrac{1}{24}-\dfrac{1}{24}+2^{-15}·2^{3·4}=$

$\small =4^2·\dfrac{1}{24}-\dfrac{1}{24}+2^{-15}·2^{12}=$

$\small =\cancel{16}^2·\dfrac{1}{\cancel{24}_3}-\dfrac{1}{24}+2^{-15+12}=$

$\small =2·\dfrac{1}{3}-\dfrac{1}{24}+2^{-3}=$

$\small = \dfrac{2}{3}-\dfrac{1}{24}+\left(\dfrac{1}{2}\right)^3=$

$\small = \dfrac{2}{3}-\dfrac{1}{24}+\dfrac{1}{8}=$

$\small = \dfrac{16-1+3}{24}=$

$\small = \dfrac{\cancel{18}^3}{\cancel{24}_4}= \dfrac{3}{4}$