Respuesta :

[tex]\\ \sf\longmapsto \left|\left(-\dfrac{1}{2}\right)^3\div \left(\dfrac{1}{4}\right)^2\right|[/tex]

[tex]\\ \sf\longmapsto \left|-\dfrac{1}{8}\div \dfrac{1}{16}\right|[/tex]

[tex]\\ \sf\longmapsto \left|-\dfrac{1}{8}\times 16\right|[/tex]

[tex]\\ \sf\longmapsto |-2|[/tex]

[tex]\\ \sf\longmapsto 2[/tex]

#2

[tex]\\ \sf\longmapsto (9^2-15.2)\div 17[/tex]

[tex]\\ \sf\longmapsto (81-15.2)\div 17[/tex]

[tex]\\ \sf\longmapsto 65.8\div 17[/tex]

[tex]\\ \sf\longmapsto 3.87[/tex]

#3

[tex]\\ \sf\longmapsto -10(24-4^2)[/tex]

[tex]\\ \sf\longmapsto -10(24-16)[/tex]

[tex]\\ \sf\longmapsto -10(8)[/tex]

[tex]\\ \sf\longmapsto -80[/tex]

#4

[tex]\\ \sf\longmapsto (-4+6-6^2)\div 7[/tex]

[tex]\\ \sf\longmapsto (2-36)\div 7[/tex]

[tex]\\ \sf\longmapsto -34\div 7[/tex]

[tex]\\ \sf\longmapsto 4.8[/tex]

Answer:

a) 2

b) 3

c) -80

d) -4

Step-by-step explanation:

For a) [ (-1/2)^3 / (1/4)^2] = [(-1/8)X(16/1)] = -2 but since there is modulus you will get positive 2. The function of modulus is to make sure that you don't have any negative values.

For b) (9^2-15X2) /17 = (81-30)/17 = 51/17 = 3. Parenthesis has higher priority than division.

For c) -10 X (24-4^2) = -10 X(24-16) = -10 X(8) = -80

For d) (-4+12-6^2) /7 = (-4+12-36)/7= (-28)/7 = -4

Hope this helps!!

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