Issolvi 100(1-1/101^5)+100/101^5

$$100 ( 1 - \frac { 1 } { 101 ^ { 5 } } ) + \frac { 100 } { 101 ^ { 5 } }$$

Evalwa

$$100$$

Passi tas-Soluzzjonijiet

Ikkalkula 101 bil-power ta' 5 u tikseb 10510100501.

$$100\left(1-\frac{1}{10510100501}\right)+\frac{100}{101^{5}}$$

Ikkonverti 1 fi frazzjoni \frac{10510100501}{10510100501}.

$$100\left(\frac{10510100501}{10510100501}-\frac{1}{10510100501}\right)+\frac{100}{101^{5}}$$

Billi \frac{10510100501}{10510100501} u \frac{1}{10510100501} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$100\times \frac{10510100501-1}{10510100501}+\frac{100}{101^{5}}$$

Naqqas 1 minn 10510100501 biex tikseb 10510100500.

$$100\times \frac{10510100500}{10510100501}+\frac{100}{101^{5}}$$

Esprimi 100\times \frac{10510100500}{10510100501} bħala frazzjoni waħda.

$$\frac{100\times 10510100500}{10510100501}+\frac{100}{101^{5}}$$

Immultiplika 100 u 10510100500 biex tikseb 1051010050000.

$$\frac{1051010050000}{10510100501}+\frac{100}{101^{5}}$$

Ikkalkula 101 bil-power ta' 5 u tikseb 10510100501.

$$\frac{1051010050000}{10510100501}+\frac{100}{10510100501}$$

Billi \frac{1051010050000}{10510100501} u \frac{100}{10510100501} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1051010050000+100}{10510100501}$$

Żid 1051010050000 u 100 biex tikseb 1051010050100.

$$\frac{1051010050100}{10510100501}$$

Iddividi 1051010050100 b'10510100501 biex tikseb100.

$$100$$

Fattur

$$2^{2}\times 5^{2}$$