Solve (1+4,59/12)^12*600

$$( 1 + \frac { 4,59 } { 12 } ) ^ { 12 } \times 600$$

Evaluate

$$29250,475478069606952704793843149220943450927734375$$

Solution Steps

Expand \frac{4,59}{12} by multiplying both numerator and the denominator by 100.

$$\left(1+\frac{459}{1200}\right)^{12}\times 600$$

Reduce the fraction \frac{459}{1200} to lowest terms by extracting and canceling out 3.

$$\left(1+\frac{153}{400}\right)^{12}\times 600$$

Add 1 and \frac{153}{400} to get \frac{553}{400}.

$$\left(\frac{553}{400}\right)^{12}\times 600$$

Calculate \frac{553}{400} to the power of 12 and get \frac{817902575330461764801050184236641}{16777216000000000000000000000000}.

$$\frac{817902575330461764801050184236641}{16777216000000000000000000000000}\times 600$$

Multiply \frac{817902575330461764801050184236641}{16777216000000000000000000000000} and 600 to get \frac{2453707725991385294403150552709923}{83886080000000000000000000000}.

$$\frac{2453707725991385294403150552709923}{83886080000000000000000000000}$$

Factor

$$\frac{3 \cdot 7 ^ {12} \cdot 79 ^ {12}}{2 ^ {45} \cdot 5 ^ {22}} = 29250\frac{3.9885991385391057 \times 10^{28}}{8.388608 \times 10^{28}} = 29250.47547806961$$