Issolvi 40000div1.1+50000div1.1^2+30000div1.1^3+50000div1.1^4-100000

$$40000 \div 1.1+50000 \div { 1.1 }^{ 2 } +30000 \div { 1.1 }^{ 3 } +50000 \div { 1.1 }^{ 4 } -100000$$

Evalwa

$$\frac{503300000}{14641}\approx 34376.067208524$$

Passi tas-Soluzzjonijiet

Espandi \frac{40000}{1.1} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{400000}{11}+\frac{50000}{1.1^{2}}+\frac{30000}{1.1^{3}}+\frac{50000}{1.1^{4}}-100000$$

Ikkalkula 1.1 bil-power ta' 2 u tikseb 1.21.

$$\frac{400000}{11}+\frac{50000}{1.21}+\frac{30000}{1.1^{3}}+\frac{50000}{1.1^{4}}-100000$$

Espandi \frac{50000}{1.21} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\frac{400000}{11}+\frac{5000000}{121}+\frac{30000}{1.1^{3}}+\frac{50000}{1.1^{4}}-100000$$

L-inqas multipli komuni ta' 11 u 121 huwa 121. Ikkonverti \frac{400000}{11} u \frac{5000000}{121} fi frazzjonijiet bid-denominatur 121.

$$\frac{4400000}{121}+\frac{5000000}{121}+\frac{30000}{1.1^{3}}+\frac{50000}{1.1^{4}}-100000$$

Billi \frac{4400000}{121} u \frac{5000000}{121} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{4400000+5000000}{121}+\frac{30000}{1.1^{3}}+\frac{50000}{1.1^{4}}-100000$$

Żid 4400000 u 5000000 biex tikseb 9400000.

$$\frac{9400000}{121}+\frac{30000}{1.1^{3}}+\frac{50000}{1.1^{4}}-100000$$

Ikkalkula 1.1 bil-power ta' 3 u tikseb 1.331.

$$\frac{9400000}{121}+\frac{30000}{1.331}+\frac{50000}{1.1^{4}}-100000$$

Espandi \frac{30000}{1.331} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\frac{9400000}{121}+\frac{30000000}{1331}+\frac{50000}{1.1^{4}}-100000$$

L-inqas multipli komuni ta' 121 u 1331 huwa 1331. Ikkonverti \frac{9400000}{121} u \frac{30000000}{1331} fi frazzjonijiet bid-denominatur 1331.

$$\frac{103400000}{1331}+\frac{30000000}{1331}+\frac{50000}{1.1^{4}}-100000$$

Billi \frac{103400000}{1331} u \frac{30000000}{1331} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{103400000+30000000}{1331}+\frac{50000}{1.1^{4}}-100000$$

Żid 103400000 u 30000000 biex tikseb 133400000.

$$\frac{133400000}{1331}+\frac{50000}{1.1^{4}}-100000$$

Ikkalkula 1.1 bil-power ta' 4 u tikseb 1.4641.

$$\frac{133400000}{1331}+\frac{50000}{1.4641}-100000$$

Espandi \frac{50000}{1.4641} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$\frac{133400000}{1331}+\frac{500000000}{14641}-100000$$

L-inqas multipli komuni ta' 1331 u 14641 huwa 14641. Ikkonverti \frac{133400000}{1331} u \frac{500000000}{14641} fi frazzjonijiet bid-denominatur 14641.

$$\frac{1467400000}{14641}+\frac{500000000}{14641}-100000$$

Billi \frac{1467400000}{14641} u \frac{500000000}{14641} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1467400000+500000000}{14641}-100000$$

Żid 1467400000 u 500000000 biex tikseb 1967400000.

$$\frac{1967400000}{14641}-100000$$

Ikkonverti 100000 fi frazzjoni \frac{1464100000}{14641}.

$$\frac{1967400000}{14641}-\frac{1464100000}{14641}$$

Billi \frac{1967400000}{14641} u \frac{1464100000}{14641} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{1967400000-1464100000}{14641}$$

Naqqas 1464100000 minn 1967400000 biex tikseb 503300000.

$$\frac{503300000}{14641}$$

Fattur

$$\frac{7 \cdot 719 \cdot 2 ^ {5} \cdot 5 ^ {5}}{11 ^ {4}} = 34376\frac{984}{14641} = 34376.06720852401$$