Solve 15625(16/100+1)^2*(1+1/100)

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

Evaluate

$$\frac{84941}{4}=21235.25$$

Solution Steps

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

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

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

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

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

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

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

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

Add 1 and \frac{1}{100} to get \frac{101}{100}.

$$21025\times \frac{101}{100}$$

Multiply 21025 and \frac{101}{100} to get \frac{84941}{4}.

$$\frac{84941}{4}$$

Factor

$$\frac{29 ^ {2} \cdot 101}{2 ^ {2}} = 21235\frac{1}{4} = 21235.25$$