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

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

Evalwa

$$\frac{8192}{27}\approx 303.407407407$$

Passi tas-Soluzzjonijiet

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tan-numeratur mill-esponent tad-denominatur.

$$\frac{\left(\frac{1}{2}\right)^{-3}}{\left(\frac{1}{4}\right)^{5}\times \left(\frac{1}{3}\right)^{-3}}$$

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

$$\frac{8}{\left(\frac{1}{4}\right)^{5}\times \left(\frac{1}{3}\right)^{-3}}$$

Ikkalkula \frac{1}{4} bil-power ta' 5 u tikseb \frac{1}{1024}.

$$\frac{8}{\frac{1}{1024}\times \left(\frac{1}{3}\right)^{-3}}$$

Ikkalkula \frac{1}{3} bil-power ta' -3 u tikseb 27.

$$\frac{8}{\frac{1}{1024}\times 27}$$

Immultiplika \frac{1}{1024} u 27 biex tikseb \frac{27}{1024}.

$$\frac{8}{\frac{27}{1024}}$$

Iddividi 8 b'\frac{27}{1024} billi timmultiplika 8 bir-reċiproku ta' \frac{27}{1024}.

$$8\times \frac{1024}{27}$$

Immultiplika 8 u \frac{1024}{27} biex tikseb \frac{8192}{27}.

$$\frac{8192}{27}$$

Fattur

$$\frac{2 ^ {13}}{3 ^ {3}} = 303\frac{11}{27} = 303.4074074074074$$