Solve 1,025^2-1/0,025*1,025^30*8000+3000*1,025^8=?

$$\frac { 1,025 ^ { 2 } - 1 } { 0,025 } \cdot 1,025 ^ { 30 } \cdot 8000 + 3000 \cdot 1,025 ^ { 8 } = ?$$

Evaluate

$$173194791841524420306086540222167969207763671875000$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$\frac{1\times 625-1}{0,025}\times 1\times 25^{30}\times 8000+3000\times 1\times 25^{8}$$

Multiply 1 and 625 to get 625.

$$\frac{625-1}{0,025}\times 1\times 25^{30}\times 8000+3000\times 1\times 25^{8}$$

Subtract 1 from 625 to get 624.

$$\frac{624}{0,025}\times 1\times 25^{30}\times 8000+3000\times 1\times 25^{8}$$

Expand \frac{624}{0,025} by multiplying both numerator and the denominator by 1000.

$$\frac{624000}{25}\times 1\times 25^{30}\times 8000+3000\times 1\times 25^{8}$$

Divide 624000 by 25 to get 24960.

$$24960\times 1\times 25^{30}\times 8000+3000\times 1\times 25^{8}$$

Multiply 24960 and 1 to get 24960.

$$24960\times 25^{30}\times 8000+3000\times 1\times 25^{8}$$

Calculate 25 to the power of 30 and get 867361737988403547205962240695953369140625.

$$24960\times 867361737988403547205962240695953369140625\times 8000+3000\times 1\times 25^{8}$$

Multiply 24960 and 867361737988403547205962240695953369140625 to get 21649348980190552538260817527770996093750000000.

$$21649348980190552538260817527770996093750000000\times 8000+3000\times 1\times 25^{8}$$

Multiply 21649348980190552538260817527770996093750000000 and 8000 to get 173194791841524420306086540222167968750000000000000.

$$173194791841524420306086540222167968750000000000000+3000\times 1\times 25^{8}$$

Multiply 3000 and 1 to get 3000.

$$173194791841524420306086540222167968750000000000000+3000\times 25^{8}$$

Calculate 25 to the power of 8 and get 152587890625.

$$173194791841524420306086540222167968750000000000000+3000\times 152587890625$$

Multiply 3000 and 152587890625 to get 457763671875000.

$$173194791841524420306086540222167968750000000000000+457763671875000$$

Add 173194791841524420306086540222167968750000000000000 and 457763671875000 to get 173194791841524420306086540222167969207763671875000.

$$173194791841524420306086540222167969207763671875000$$

Factor

$$1556995045010445049270190329218107\times 2^{3}\times 3^{6}\times 5^{19}$$