Lahenda [1/10+(1/10)^9*(1/21)^7:(1/14*frac{1}{15})^7]

$$[ \frac { 1 } { 10 } + ( \frac { 1 } { 10 } ) ^ { 9 } \cdot ( \frac { 1 } { 21 } ) ^ { 7 } : ( \frac { 1 } { 14 } \cdot \frac { 1 } { 15 } ) ^ { 7 } ]$$

Arvuta

$$\frac{11}{100}=0,11$$

Lahenduse etapid

Arvutage 9 aste \frac{1}{10} ja leidke \frac{1}{1000000000}.

$$\frac{1}{10}+\frac{\frac{1}{1000000000}\times \left(\frac{1}{21}\right)^{7}}{\left(\frac{1}{14}\times \frac{1}{15}\right)^{7}}$$

Arvutage 7 aste \frac{1}{21} ja leidke \frac{1}{1801088541}.

$$\frac{1}{10}+\frac{\frac{1}{1000000000}\times \frac{1}{1801088541}}{\left(\frac{1}{14}\times \frac{1}{15}\right)^{7}}$$

Korrutage \frac{1}{1000000000} ja \frac{1}{1801088541}, et leida \frac{1}{1801088541000000000}.

$$\frac{1}{10}+\frac{\frac{1}{1801088541000000000}}{\left(\frac{1}{14}\times \frac{1}{15}\right)^{7}}$$

Korrutage \frac{1}{14} ja \frac{1}{15}, et leida \frac{1}{210}.

$$\frac{1}{10}+\frac{\frac{1}{1801088541000000000}}{\left(\frac{1}{210}\right)^{7}}$$

Arvutage 7 aste \frac{1}{210} ja leidke \frac{1}{18010885410000000}.

$$\frac{1}{10}+\frac{\frac{1}{1801088541000000000}}{\frac{1}{18010885410000000}}$$

Jagage \frac{1}{1801088541000000000} väärtusega \frac{1}{18010885410000000}, korrutades \frac{1}{1801088541000000000} väärtuse \frac{1}{18010885410000000} pöördväärtusega.

$$\frac{1}{10}+\frac{1}{1801088541000000000}\times 18010885410000000$$

Korrutage \frac{1}{1801088541000000000} ja 18010885410000000, et leida \frac{1}{100}.

$$\frac{1}{10}+\frac{1}{100}$$

Liitke \frac{1}{10} ja \frac{1}{100}, et leida \frac{11}{100}.

$$\frac{11}{100}$$

Lahuta teguriteks

$$\frac{11}{2 ^ {2} \cdot 5 ^ {2}} = 0,11$$