Solve 20.000[1,06^9-1/0,06]=

$$20.000 [ \frac { 1,06 ^ { 9 } - 1 } { 0,06 } ] =$$

Evaluate

$$229.826319667564032$$

Solution Steps

Calculate 1.06 to the power of 9 and get 1.689478959002692096.

$$20\times \frac{1.689478959002692096-1}{0.06}$$

Subtract 1 from 1.689478959002692096 to get 0.689478959002692096.

$$20\times \frac{0.689478959002692096}{0.06}$$

Expand \frac{0.689478959002692096}{0.06} by multiplying both numerator and the denominator by 1000000000000000000.

$$20\times \frac{689478959002692096}{60000000000000000}$$

Reduce the fraction \frac{689478959002692096}{60000000000000000} to lowest terms by extracting and canceling out 1536.

$$20\times \frac{448879530600711}{39062500000000}$$

Express 20\times \frac{448879530600711}{39062500000000} as a single fraction.

$$\frac{20\times 448879530600711}{39062500000000}$$

Multiply 20 and 448879530600711 to get 8977590612014220.

$$\frac{8977590612014220}{39062500000000}$$

Reduce the fraction \frac{8977590612014220}{39062500000000} to lowest terms by extracting and canceling out 20.

$$\frac{448879530600711}{1953125000000}$$

Factor

$$\frac{7 \cdot 19 \cdot 379 \cdot 989455897 \cdot 3 ^ {2}}{2 ^ {6} \cdot 5 ^ {15}} = 229\frac{1613905600711}{1953125000000} = 229.82631966756404$$