Solve 3000*(1+8%)^50

$$3000 \times ( 1 + 8 \% ) ^ { 50 }$$

Evaluate

$$\frac{8879723640843047350192818778840719460475354409353351371564425727241957976}{63108872417680944432938285222622898373856514808721840381622314453125}\approx 140704.837539694$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$3000\left(1+\frac{2}{25}\right)^{50}$$

Add 1 and \frac{2}{25} to get \frac{27}{25}.

$$3000\times \left(\frac{27}{25}\right)^{50}$$

Calculate \frac{27}{25} to the power of 50 and get \frac{369988485035126972924700782451696644186473100389722973815184405301748249}{7888609052210118054117285652827862296732064351090230047702789306640625}.

$$3000\times \frac{369988485035126972924700782451696644186473100389722973815184405301748249}{7888609052210118054117285652827862296732064351090230047702789306640625}$$

Multiply 3000 and \frac{369988485035126972924700782451696644186473100389722973815184405301748249}{7888609052210118054117285652827862296732064351090230047702789306640625} to get \frac{8879723640843047350192818778840719460475354409353351371564425727241957976}{63108872417680944432938285222622898373856514808721840381622314453125}.

$$\frac{8879723640843047350192818778840719460475354409353351371564425727241957976}{63108872417680944432938285222622898373856514808721840381622314453125}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {151}}{5 ^ {97}} = 140704\frac{5.2856185667047555 \times 10^{67}}{6.3108872417680955 \times 10^{67}} = 140704.83753969357$$