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

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

Arvuta

$$100$$

Lahenduse etapid

Arvutage 5 aste 101 ja leidke 10510100501.

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

Teisendage 1 murdarvuks \frac{10510100501}{10510100501}.

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

Kuna murdudel \frac{10510100501}{10510100501} ja \frac{1}{10510100501} on sama nimetaja, lahutage nende lugejad.

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

Lahutage 1 väärtusest 10510100501, et leida 10510100500.

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

Avaldage 100\times \frac{10510100500}{10510100501} ühe murdarvuna.

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

Korrutage 100 ja 10510100500, et leida 1051010050000.

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

Arvutage 5 aste 101 ja leidke 10510100501.

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

Kuna murdudel \frac{1051010050000}{10510100501} ja \frac{100}{10510100501} on sama nimetaja, liitke nende lugejad.

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

Liitke 1051010050000 ja 100, et leida 1051010050100.

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

Jagage 1051010050100 väärtusega 10510100501, et leida 100.

$$100$$

Lahuta teguriteks

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