Question

[(-1/2)³+2×(-1)⁴]:1/2

Answer 1

-1+16/8:1/2 = 15/8:1/2 = 30/8 = 15/4

Answer 2

Olá.

$\mathsf{\left[\left(\dfrac{-1}{2}\right)^3+2\cdot(-1)^4\right]:\dfrac{1}{2}=}\\\\\\ \mathsf{\left[\left(\dfrac{-1^3}{2^3}\right)+2\cdot1\right]:\dfrac{1}{2}=}\\\\\\ \mathsf{\left[\left(\dfrac{-1}{8}\right)+2\right]:\dfrac{1}{2}=}\\\\\\ \mathsf{\left[\dfrac{-1}{8}+2\right]:\dfrac{1}{2}=}\\\\\\ \mathsf{\left[\dfrac{-1+8\cdot2}{8}\right]:\dfrac{1}{2}=}\\\\\\ \mathsf{\left[\dfrac{-1+16}{8}\right]:\dfrac{1}{2}=}\\\\\\ \mathsf{\left[\dfrac{15}{8}\right]:\dfrac{1}{2}=}$

$\mathsf{\dfrac{15}{8}:\dfrac{1}{2}=}\\\\\\ \mathsf{\dfrac{15}{8}\cdot\dfrac{2}{1}=}\\\\\\ \mathsf{\left(\dfrac{30}{8}}\right)^{:2}=}\\\\\\ \boxed{\mathsf{\dfrac{15}{4}}}$

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Bons estudos.