Issolvi {left(frac{1/3right)}^2-{left(1/2right)}^-3}{{left(1/4right)}^-2}

$$\frac{ { \left( \frac{ 1 }{ 3 } \right) }^{ 2 } - { \left( \frac{ 1 }{ 2 } \right) }^{ -3 } }{ { \left( \frac{ 1 }{ 4 } \right) }^{ -2 } }$$

Evalwa

$$-\frac{71}{144}\approx -0.493055556$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{1}{3} bil-power ta' 2 u tikseb \frac{1}{9}.

$$\frac{\frac{1}{9}-\left(\frac{1}{2}\right)^{-3}}{\left(\frac{1}{4}\right)^{-2}}$$

Ikkalkula \frac{1}{2} bil-power ta' -3 u tikseb 8.

$$\frac{\frac{1}{9}-8}{\left(\frac{1}{4}\right)^{-2}}$$

Naqqas 8 minn \frac{1}{9} biex tikseb -\frac{71}{9}.

$$\frac{-\frac{71}{9}}{\left(\frac{1}{4}\right)^{-2}}$$

Ikkalkula \frac{1}{4} bil-power ta' -2 u tikseb 16.

$$\frac{-\frac{71}{9}}{16}$$

Esprimi \frac{-\frac{71}{9}}{16} bħala frazzjoni waħda.

$$\frac{-71}{9\times 16}$$

Immultiplika 9 u 16 biex tikseb 144.

$$\frac{-71}{144}$$

Frazzjoni \frac{-71}{144} tista' tinkiteb mill-ġdid bħala -\frac{71}{144} bl-estrazzjoni tas-sinjal negattiv.

$$-\frac{71}{144}$$

Fattur

$$-\frac{71}{144} = -0.4930555555555556$$