Solve 6000(1+0.06/3)^(3)(2)

$$6000 ( 1 + \frac { 0.06 } { 3 } ) ^ { ( 3 ) ( 2 ) }$$

Evaluate

$$6756.974515584$$

Solution Steps

Expand \frac{0.06}{3} by multiplying both numerator and the denominator by 100.

$$6000\left(1+\frac{6}{300}\right)^{3\times 2}$$

Reduce the fraction \frac{6}{300} to lowest terms by extracting and canceling out 6.

$$6000\left(1+\frac{1}{50}\right)^{3\times 2}$$

Add 1 and \frac{1}{50} to get \frac{51}{50}.

$$6000\times \left(\frac{51}{50}\right)^{3\times 2}$$

Multiply 3 and 2 to get 6.

$$6000\times \left(\frac{51}{50}\right)^{6}$$

Calculate \frac{51}{50} to the power of 6 and get \frac{17596287801}{15625000000}.

$$6000\times \frac{17596287801}{15625000000}$$

Multiply 6000 and \frac{17596287801}{15625000000} to get \frac{52788863403}{7812500}.

$$\frac{52788863403}{7812500}$$

Factor

$$\frac{3 ^ {7} \cdot 17 ^ {6}}{2 ^ {2} \cdot 5 ^ {9}} = 6756\frac{7613403}{7812500} = 6756.974515584$$