Solve =>(100+4/12)^12-100

$$= > ( 100 + \frac { 4 } { 12 } ) ^ { 12 } - 100$$

Evaluate

$$\frac{553092726310835924575392799501}{531441}\approx 1.040741543 \cdot 10^{24}$$

Solution Steps

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\left(100+\frac{1}{3}\right)^{12}-100$$

Add 100 and \frac{1}{3} to get \frac{301}{3}.

$$\left(\frac{301}{3}\right)^{12}-100$$

Calculate \frac{301}{3} to the power of 12 and get \frac{553092726310835924575445943601}{531441}.

$$\frac{553092726310835924575445943601}{531441}-100$$

Subtract 100 from \frac{553092726310835924575445943601}{531441} to get \frac{553092726310835924575392799501}{531441}.

$$\frac{553092726310835924575392799501}{531441}$$

Factor

$$\frac{271 \cdot 359 \cdot 2339 \cdot 42641 \cdot 7456609 \cdot 7644256199}{3 ^ {12}} = 1.0407415429197897 \times 10^{24}\frac{502854}{531441} = 1.0407415429197897 \times 10^{24}$$