Solve 15625{(1+4/100)^3-1}

$$15625 \{ ( 1 + \frac { 4 } { 100 } ) ^ { 3 } - 1 \}$$

Evaluate

$$1951$$

Solution Steps

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

$$15625\left(\left(1+\frac{1}{25}\right)^{3}-1\right)$$

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

$$15625\left(\left(\frac{26}{25}\right)^{3}-1\right)$$

Calculate \frac{26}{25} to the power of 3 and get \frac{17576}{15625}.

$$15625\left(\frac{17576}{15625}-1\right)$$

Subtract 1 from \frac{17576}{15625} to get \frac{1951}{15625}.

$$15625\times \frac{1951}{15625}$$

Multiply 15625 and \frac{1951}{15625} to get 1951.

$$1951$$

Factor

$$1951$$