Issolvi frac{0.1^{-3}*5^{-2}}{(5/64*0.4^{3})^-2}*((1/5)^-2*0.25^2)^-3

$$\frac { 0.1 ^ { - 3 } \cdot 5 ^ { - 2 } } { ( \frac { 5 } { 64 } \cdot 0.4 ^ { 3 } ) ^ { - 2 } } \cdot ( ( \frac { 1 } { 5 } ) ^ { - 2 } \cdot 0.25 ^ { 2 } ) ^ { - 3 }$$

Evalwa

$$0.000262144$$

Passi tas-Soluzzjonijiet

Ikkalkula 0.1 bil-power ta' -3 u tikseb 1000.

$$\frac{1000\times 5^{-2}}{\left(\frac{5}{64}\times 0.4^{3}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Ikkalkula 5 bil-power ta' -2 u tikseb \frac{1}{25}.

$$\frac{1000\times \frac{1}{25}}{\left(\frac{5}{64}\times 0.4^{3}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Immultiplika 1000 u \frac{1}{25} biex tikseb 40.

$$\frac{40}{\left(\frac{5}{64}\times 0.4^{3}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Ikkalkula 0.4 bil-power ta' 3 u tikseb 0.064.

$$\frac{40}{\left(\frac{5}{64}\times 0.064\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Immultiplika \frac{5}{64} u 0.064 biex tikseb \frac{1}{200}.

$$\frac{40}{\left(\frac{1}{200}\right)^{-2}}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Ikkalkula \frac{1}{200} bil-power ta' -2 u tikseb 40000.

$$\frac{40}{40000}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Naqqas il-frazzjoni \frac{40}{40000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 40.

$$\frac{1}{1000}\times \left(\left(\frac{1}{5}\right)^{-2}\times 0.25^{2}\right)^{-3}$$

Ikkalkula \frac{1}{5} bil-power ta' -2 u tikseb 25.

$$\frac{1}{1000}\times \left(25\times 0.25^{2}\right)^{-3}$$

Ikkalkula 0.25 bil-power ta' 2 u tikseb 0.0625.

$$\frac{1}{1000}\times \left(25\times 0.0625\right)^{-3}$$

Immultiplika 25 u 0.0625 biex tikseb 1.5625.

$$\frac{1}{1000}\times 1.5625^{-3}$$

Ikkalkula 1.5625 bil-power ta' -3 u tikseb 0.262144.

$$\frac{1}{1000}\times 0.262144$$

Immultiplika \frac{1}{1000} u 0.262144 biex tikseb \frac{512}{1953125}.

$$\frac{512}{1953125}$$

Fattur

$$\frac{2 ^ {9}}{5 ^ {9}} = 0.000262144$$