Solve 1500left(1+0.08div4right)^4*4

$$1500 { \left(1+0.08 \div 4 \right) }^{ 4 \times 4 }$$

Evaluate

$$2059.17855763591827598078849941504$$

Solution Steps

Expand \frac{0.08}{4} by multiplying both numerator and the denominator by 100.

$$1500\left(1+\frac{8}{400}\right)^{4\times 4}$$

Reduce the fraction \frac{8}{400} to lowest terms by extracting and canceling out 8.

$$1500\left(1+\frac{1}{50}\right)^{4\times 4}$$

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

$$1500\times \left(\frac{51}{50}\right)^{4\times 4}$$

Multiply 4 and 4 to get 16.

$$1500\times \left(\frac{51}{50}\right)^{16}$$

Calculate \frac{51}{50} to the power of 16 and get \frac{2094704750199298376445300801}{1525878906250000000000000000}.

$$1500\times \frac{2094704750199298376445300801}{1525878906250000000000000000}$$

Multiply 1500 and \frac{2094704750199298376445300801}{1525878906250000000000000000} to get \frac{6284114250597895129335902403}{3051757812500000000000000}.

$$\frac{6284114250597895129335902403}{3051757812500000000000000}$$

Factor

$$\frac{3 ^ {17} \cdot 17 ^ {16}}{2 ^ {14} \cdot 5 ^ {29}} = 2059\frac{5.449146603956055 \times 10^{23}}{3.0517578125 \times 10^{24}} = 2059.1785576359184$$