Solve 15000{left(1+8/10right)}^10*10

$$15000 { \left( 1+ \frac{ 8 }{ 10 } \right) }^{ 10 \times 10 }$$

Evaluate

$$\frac{6374735733020994464130751728858711043901602863681467903389799081738219781631252391865232777056024}{12621774483536188886587657044524579674771302961744368076324462890625}\approx 5.050585986 \cdot 10^{29}$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$15000\left(1+\frac{4}{5}\right)^{10\times 10}$$

Add 1 and \frac{4}{5} to get \frac{9}{5}.

$$15000\times \left(\frac{9}{5}\right)^{10\times 10}$$

Multiply 10 and 10 to get 100.

$$15000\times \left(\frac{9}{5}\right)^{100}$$

Calculate \frac{9}{5} to the power of 100 and get \frac{265613988875874769338781322035779626829233452653394495974574961739092490901302182994384699044001}{7888609052210118054117285652827862296732064351090230047702789306640625}.

$$15000\times \frac{265613988875874769338781322035779626829233452653394495974574961739092490901302182994384699044001}{7888609052210118054117285652827862296732064351090230047702789306640625}$$

Multiply 15000 and \frac{265613988875874769338781322035779626829233452653394495974574961739092490901302182994384699044001}{7888609052210118054117285652827862296732064351090230047702789306640625} to get \frac{6374735733020994464130751728858711043901602863681467903389799081738219781631252391865232777056024}{12621774483536188886587657044524579674771302961744368076324462890625}.

$$\frac{6374735733020994464130751728858711043901602863681467903389799081738219781631252391865232777056024}{12621774483536188886587657044524579674771302961744368076324462890625}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {201}}{5 ^ {96}} = 5.050585986412754 \times 10^{29}\frac{1.2263731135053118 \times 10^{66}}{1.262177448353619 \times 10^{67}} = 5.050585986412754 \times 10^{29}$$