Issolvi 2*250/0.05^2*(1,26*10^-6*frac{8*1,58{sqrt{125}*0.2})^2}

$$\frac { 2 \cdot 250 } { 0.05 ^ { 2 } \cdot ( 1,26 \cdot 10 ^ { - 6 } \cdot \frac { 8 \cdot 1,58 } { \sqrt { 125 } \cdot 0.2 } ) ^ { 2 } }$$

Evalwa

$$\frac{97656250000000000000000}{24770529}\approx 3.942436998 \cdot 10^{15}$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 250 biex tikseb 500.

$$\frac{500}{0.05^{2}\times \left(1.26\times 10^{-6}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Ikkalkula 0.05 bil-power ta' 2 u tikseb 0.0025.

$$\frac{500}{0.0025\times \left(1.26\times 10^{-6}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Ikkalkula 10 bil-power ta' -6 u tikseb \frac{1}{1000000}.

$$\frac{500}{0.0025\times \left(1.26\times \frac{1}{1000000}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Immultiplika 1.26 u \frac{1}{1000000} biex tikseb \frac{63}{50000000}.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Immultiplika 8 u 1.58 biex tikseb 12.64.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{0.2\sqrt{125}}\right)^{2}}$$

Iffattura 125=5^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{5^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 5^{2}.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{0.2\times 5\sqrt{5}}\right)^{2}}$$

Immultiplika 0.2 u 5 biex tikseb 1.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{\sqrt{5}}\right)^{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{12.64}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64\sqrt{5}}{5}\right)^{2}}$$

Iddividi 12.64\sqrt{5} b'5 biex tikseb2.528\sqrt{5}.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times 2.528\sqrt{5}\right)^{2}}$$

Immultiplika \frac{63}{50000000} u 2.528 biex tikseb \frac{4977}{1562500000}.

$$\frac{500}{0.0025\times \left(\frac{4977}{1562500000}\sqrt{5}\right)^{2}}$$

Espandi \left(\frac{4977}{1562500000}\sqrt{5}\right)^{2}.

$$\frac{500}{0.0025\times \left(\frac{4977}{1562500000}\right)^{2}\left(\sqrt{5}\right)^{2}}$$

Ikkalkula \frac{4977}{1562500000} bil-power ta' 2 u tikseb \frac{24770529}{2441406250000000000}.

$$\frac{500}{0.0025\times \frac{24770529}{2441406250000000000}\left(\sqrt{5}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{500}{0.0025\times \frac{24770529}{2441406250000000000}\times 5}$$

Immultiplika \frac{24770529}{2441406250000000000} u 5 biex tikseb \frac{24770529}{488281250000000000}.

$$\frac{500}{0.0025\times \frac{24770529}{488281250000000000}}$$

Immultiplika 0.0025 u \frac{24770529}{488281250000000000} biex tikseb \frac{24770529}{195312500000000000000}.

$$\frac{500}{\frac{24770529}{195312500000000000000}}$$

Iddividi 500 b'\frac{24770529}{195312500000000000000} billi timmultiplika 500 bir-reċiproku ta' \frac{24770529}{195312500000000000000}.

$$500\times \frac{195312500000000000000}{24770529}$$

Immultiplika 500 u \frac{195312500000000000000}{24770529} biex tikseb \frac{97656250000000000000000}{24770529}.

$$\frac{97656250000000000000000}{24770529}$$

Fattur

$$\frac{2 ^ {16} \cdot 5 ^ {26}}{3 ^ {4} \cdot 7 ^ {2} \cdot 79 ^ {2}} = 3942436998418564\frac{10952700}{24770529} = 3942436998418564.5$$