Solve 15625{left(16/100+1right)}^2left(1+1/4*16/100right)

$$15625 { \left( \frac{ 16 }{ 100 } +1 \right) }^{ 2 } \left( 1+ \frac{ 1 }{ 4 } \times \frac{ 16 }{ 100 } \right)$$

Evaluate

$$21866$$

Solution Steps

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$15625\left(\frac{4}{25}+1\right)^{2}\left(1+\frac{1}{4}\times \frac{16}{100}\right)$$

Add \frac{4}{25} and 1 to get \frac{29}{25}.

$$15625\times \left(\frac{29}{25}\right)^{2}\left(1+\frac{1}{4}\times \frac{16}{100}\right)$$

Calculate \frac{29}{25} to the power of 2 and get \frac{841}{625}.

$$15625\times \frac{841}{625}\left(1+\frac{1}{4}\times \frac{16}{100}\right)$$

Multiply 15625 and \frac{841}{625} to get 21025.

$$21025\left(1+\frac{1}{4}\times \frac{16}{100}\right)$$

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$21025\left(1+\frac{1}{4}\times \frac{4}{25}\right)$$

Multiply \frac{1}{4} and \frac{4}{25} to get \frac{1}{25}.

$$21025\left(1+\frac{1}{25}\right)$$

Add 1 and \frac{1}{25} to get \frac{26}{25}.

$$21025\times \frac{26}{25}$$

Multiply 21025 and \frac{26}{25} to get 21866.

$$21866$$

Factor

$$2\times 13\times 29^{2}$$