Solve A=5^19+2.5^18/25^10-3.5^19

$$A = \frac { 5 ^ { 19 } + 2.5 ^ { 18 } } { 25 ^ { 10 } - 3.5 ^ { 19 } }$$

Solve for A

$$A=\frac{10000007629394531250}{49988601104814626857}\approx 0.200045759$$

Steps for Solving Linear Equation

Calculate 5 to the power of 19 and get 19073486328125.

$$A=\frac{19073486328125+2.5^{18}}{25^{10}-3.5^{19}}$$

Calculate 2.5 to the power of 18 and get 14551915.228366851806640625.

$$A=\frac{19073486328125+14551915.228366851806640625}{25^{10}-3.5^{19}}$$

Add 19073486328125 and 14551915.228366851806640625 to get 19073500880040.228366851806640625.

$$A=\frac{19073500880040.228366851806640625}{25^{10}-3.5^{19}}$$

Calculate 25 to the power of 10 and get 95367431640625.

$$A=\frac{19073500880040.228366851806640625}{95367431640625-3.5^{19}}$$

Calculate 3.5 to the power of 19 and get 21741667147.3944530487060546875.

$$A=\frac{19073500880040.228366851806640625}{95367431640625-21741667147.3944530487060546875}$$

Subtract 21741667147.3944530487060546875 from 95367431640625 to get 95345689973477.6055469512939453125.

$$A=\frac{19073500880040.228366851806640625}{95345689973477.6055469512939453125}$$

Expand \frac{19073500880040.228366851806640625}{95345689973477.6055469512939453125} by multiplying both numerator and the denominator by 10000000000000000000.

$$A=\frac{190735008800402283668518066406250}{953456899734776055469512939453125}$$

Reduce the fraction \frac{190735008800402283668518066406250}{953456899734776055469512939453125} to lowest terms by extracting and canceling out 19073486328125.

$$A=\frac{10000007629394531250}{49988601104814626857}$$

Assign A

$$A≔\frac{10000007629394531250}{49988601104814626857}$$