Issolvi left(100*10right)^-3sqrt{{left(2*2*10^340/36/15right)}^2+left(2*200*10^3right)^2}

$${ \left(100 \times 10 \right) }^{ -3 } \sqrt{ { \left( \frac{ 2 \cdot 2 \times 1 { 0 }^{ 3 } \frac{ 40 }{ 36 } }{ 15 } \right) }^{ 2 } + { \left(2 \cdot 200 \times { 10 }^{ 3 } \right) }^{ 2 } }$$

Evalwa

$$\frac{1}{2500}=0.0004$$

Passi tas-Soluzzjonijiet

Immultiplika 100 u 10 biex tikseb 1000.

$$1000^{-3}\sqrt{\left(\frac{2\times 2\times 1\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Ikkalkula 1000 bil-power ta' -3 u tikseb \frac{1}{1000000000}.

$$\frac{1}{1000000000}\sqrt{\left(\frac{2\times 2\times 1\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{1}{1000000000}\sqrt{\left(\frac{4\times 1\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Immultiplika 4 u 1 biex tikseb 4.

$$\frac{1}{1000000000}\sqrt{\left(\frac{4\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Ikkalkula 0 bil-power ta' 3 u tikseb 0.

$$\frac{1}{1000000000}\sqrt{\left(\frac{4\times 0\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Immultiplika 4 u 0 biex tikseb 0.

$$\frac{1}{1000000000}\sqrt{\left(\frac{0\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Naqqas il-frazzjoni \frac{40}{36} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{1}{1000000000}\sqrt{\left(\frac{0\times \frac{10}{9}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Immultiplika 0 u \frac{10}{9} biex tikseb 0.

$$\frac{1}{1000000000}\sqrt{\left(\frac{0}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Żero diviż minn kwalunkwe numru li mhux żero jirriżulta f'żero.

$$\frac{1}{1000000000}\sqrt{0^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Ikkalkula 0 bil-power ta' 2 u tikseb 0.

$$\frac{1}{1000000000}\sqrt{0+\left(2\times 200\times 10^{3}\right)^{2}}$$

Immultiplika 2 u 200 biex tikseb 400.

$$\frac{1}{1000000000}\sqrt{0+\left(400\times 10^{3}\right)^{2}}$$

Ikkalkula 10 bil-power ta' 3 u tikseb 1000.

$$\frac{1}{1000000000}\sqrt{0+\left(400\times 1000\right)^{2}}$$

Immultiplika 400 u 1000 biex tikseb 400000.

$$\frac{1}{1000000000}\sqrt{0+400000^{2}}$$

Ikkalkula 400000 bil-power ta' 2 u tikseb 160000000000.

$$\frac{1}{1000000000}\sqrt{0+160000000000}$$

Żid 0 u 160000000000 biex tikseb 160000000000.

$$\frac{1}{1000000000}\sqrt{160000000000}$$

Ikkalkula l-għerq kwadrat ta' 160000000000 u ikseb 400000.

$$\frac{1}{1000000000}\times 400000$$

Immultiplika \frac{1}{1000000000} u 400000 biex tikseb \frac{1}{2500}.

$$\frac{1}{2500}$$

Fattur

$$\frac{1}{2 ^ {2} \cdot 5 ^ {4}} = 0.0004$$