Solve 1001.08^5-1/0.08*1.08^5

$$100 \frac{ { 1.08 }^{ 5 } -1 }{ 0.08 \times { 1.08 }^{ 5 } }$$

Evaluate

$$\frac{5729102500}{14348907}\approx 399.271003708$$

Solution Steps

Calculate 1.08 to the power of 5 and get 1.4693280768.

$$100\times \frac{1.4693280768-1}{0.08\times 1.08^{5}}$$

Subtract 1 from 1.4693280768 to get 0.4693280768.

$$100\times \frac{0.4693280768}{0.08\times 1.08^{5}}$$

Calculate 1.08 to the power of 5 and get 1.4693280768.

$$100\times \frac{0.4693280768}{0.08\times 1.4693280768}$$

Multiply 0.08 and 1.4693280768 to get 0.117546246144.

$$100\times \frac{0.4693280768}{0.117546246144}$$

Expand \frac{0.4693280768}{0.117546246144} by multiplying both numerator and the denominator by 1000000000000.

$$100\times \frac{469328076800}{117546246144}$$

Reduce the fraction \frac{469328076800}{117546246144} to lowest terms by extracting and canceling out 8192.

$$100\times \frac{57291025}{14348907}$$

Express 100\times \frac{57291025}{14348907} as a single fraction.

$$\frac{100\times 57291025}{14348907}$$

Multiply 100 and 57291025 to get 5729102500.

$$\frac{5729102500}{14348907}$$

Factor

$$\frac{11 \cdot 181 \cdot 1151 \cdot 2 ^ {2} \cdot 5 ^ {4}}{3 ^ {15}} = 399\frac{3888607}{14348907} = 399.2710037078085$$