Solve 1000*1/0.03*(1.03^18-1)

$$1000 \times \frac{ 1 }{ 0.03 } \times ( { 1.03 }^{ 18 } -1)$$

Evaluate

$$23414.4353746634559260160652144947963$$

Solution Steps

Expand \frac{1}{0.03} by multiplying both numerator and the denominator by 100.

$$1000\times \frac{100}{3}\left(1.03^{18}-1\right)$$

Express 1000\times \frac{100}{3} as a single fraction.

$$\frac{1000\times 100}{3}\left(1.03^{18}-1\right)$$

Multiply 1000 and 100 to get 100000.

$$\frac{100000}{3}\left(1.03^{18}-1\right)$$

Calculate 1.03 to the power of 18 and get 1.702433061239903677780481956434843889.

$$\frac{100000}{3}\left(1.702433061239903677780481956434843889-1\right)$$

Subtract 1 from 1.702433061239903677780481956434843889 to get 0.702433061239903677780481956434843889.

$$\frac{100000}{3}\times 0.702433061239903677780481956434843889$$

Convert decimal number 0.702433061239903677780481956434843889 to fraction \frac{702433061239903677780481956434843889}{10000000000}. Reduce the fraction \frac{702433061239903677780481956434843889}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{100000}{3}\times \frac{702433061239903677780481956434843889}{1000000000000000000000000000000000000}$$

Multiply \frac{100000}{3} times \frac{702433061239903677780481956434843889}{1000000000000000000000000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{100000\times 702433061239903677780481956434843889}{3\times 1000000000000000000000000000000000000}$$

Do the multiplications in the fraction \frac{100000\times 702433061239903677780481956434843889}{3\times 1000000000000000000000000000000000000}.

$$\frac{70243306123990367778048195643484388900000}{3000000000000000000000000000000000000}$$

Reduce the fraction \frac{70243306123990367778048195643484388900000}{3000000000000000000000000000000000000} to lowest terms by extracting and canceling out 300000.

$$\frac{234144353746634559260160652144947963}{10000000000000000000000000000000}$$

Factor

$$\frac{7 \cdot 19 \cdot 29 \cdot 61 \cdot 7417 \cdot 10303 \cdot 88903 \cdot 651997 \cdot 147713779 \cdot 3 ^ {2} \cdot 13 ^ {2}}{2 ^ {31} \cdot 5 ^ {31}} = 23414\frac{4.353746634559685 \times 10^{30}}{1 \times 10^{31}} = 23414.435374663455$$