Solve 10+10/1046035+10/(1046035)^2+10/(1046035)^3=

$$10 + \frac { 10 } { 1046035 } + \frac { 10 } { ( 1046035 ) ^ { 2 } } + \frac { 10 } { ( 1046035 ) ^ { 3 } } =$$

Evaluate

$$\frac{2289122632428720272}{228912044404818575}\approx 10.00000956$$

Solution Steps

Reduce the fraction \frac{10}{1046035} to lowest terms by extracting and canceling out 5.

$$10+\frac{2}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

Convert 10 to fraction \frac{2092070}{209207}.

$$\frac{2092070}{209207}+\frac{2}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

Since \frac{2092070}{209207} and \frac{2}{209207} have the same denominator, add them by adding their numerators.

$$\frac{2092070+2}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

Add 2092070 and 2 to get 2092072.

$$\frac{2092072}{209207}+\frac{10}{1046035^{2}}+\frac{10}{1046035^{3}}$$

Calculate 1046035 to the power of 2 and get 1094189221225.

$$\frac{2092072}{209207}+\frac{10}{1094189221225}+\frac{10}{1046035^{3}}$$

Reduce the fraction \frac{10}{1094189221225} to lowest terms by extracting and canceling out 5.

$$\frac{2092072}{209207}+\frac{2}{218837844245}+\frac{10}{1046035^{3}}$$

Least common multiple of 209207 and 218837844245 is 218837844245. Convert \frac{2092072}{209207} and \frac{2}{218837844245} to fractions with denominator 218837844245.

$$\frac{2188380534520}{218837844245}+\frac{2}{218837844245}+\frac{10}{1046035^{3}}$$

Since \frac{2188380534520}{218837844245} and \frac{2}{218837844245} have the same denominator, add them by adding their numerators.

$$\frac{2188380534520+2}{218837844245}+\frac{10}{1046035^{3}}$$

Add 2188380534520 and 2 to get 2188380534522.

$$\frac{2188380534522}{218837844245}+\frac{10}{1046035^{3}}$$

Calculate 1046035 to the power of 3 and get 1144560222024092875.

$$\frac{2188380534522}{218837844245}+\frac{10}{1144560222024092875}$$

Reduce the fraction \frac{10}{1144560222024092875} to lowest terms by extracting and canceling out 5.

$$\frac{2188380534522}{218837844245}+\frac{2}{228912044404818575}$$

Least common multiple of 218837844245 and 228912044404818575 is 228912044404818575. Convert \frac{2188380534522}{218837844245} and \frac{2}{228912044404818575} to fractions with denominator 228912044404818575.

$$\frac{2289122632428720270}{228912044404818575}+\frac{2}{228912044404818575}$$

Since \frac{2289122632428720270}{228912044404818575} and \frac{2}{228912044404818575} have the same denominator, add them by adding their numerators.

$$\frac{2289122632428720270+2}{228912044404818575}$$

Add 2289122632428720270 and 2 to get 2289122632428720272.

$$\frac{2289122632428720272}{228912044404818575}$$

Factor

$$\frac{2 ^ {4} \cdot 261509 \cdot 547094610613}{5 ^ {2} \cdot 131 ^ {3} \cdot 1597 ^ {3}} = 10\frac{2188380534784}{2.289120444048186 \times 10^{17}} = 10.000009559918704$$