Solve 20000*101.75%*101.75%*101.75%-20000

$$20000 \times 101.75 \% \times 101.75 \% \times 101.75 \% -20000$$

Evaluate

$$1068.4821875$$

Solution Steps

Multiply \frac{101.75}{100} and \frac{101.75}{100} to get \left(\frac{101.75}{100}\right)^{2}.

$$20000\times \left(\frac{101.75}{100}\right)^{2}\times \frac{101.75}{100}-20000$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$20000\times \left(\frac{101.75}{100}\right)^{3}-20000$$

Expand \frac{101.75}{100} by multiplying both numerator and the denominator by 100.

$$20000\times \left(\frac{10175}{10000}\right)^{3}-20000$$

Reduce the fraction \frac{10175}{10000} to lowest terms by extracting and canceling out 25.

$$20000\times \left(\frac{407}{400}\right)^{3}-20000$$

Calculate \frac{407}{400} to the power of 3 and get \frac{67419143}{64000000}.

$$20000\times \frac{67419143}{64000000}-20000$$

Express 20000\times \frac{67419143}{64000000} as a single fraction.

$$\frac{20000\times 67419143}{64000000}-20000$$

Multiply 20000 and 67419143 to get 1348382860000.

$$\frac{1348382860000}{64000000}-20000$$

Reduce the fraction \frac{1348382860000}{64000000} to lowest terms by extracting and canceling out 20000.

$$\frac{67419143}{3200}-20000$$

Convert 20000 to fraction \frac{64000000}{3200}.

$$\frac{67419143}{3200}-\frac{64000000}{3200}$$

Since \frac{67419143}{3200} and \frac{64000000}{3200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67419143-64000000}{3200}$$

Subtract 64000000 from 67419143 to get 3419143.

$$\frac{3419143}{3200}$$

Factor

$$\frac{7 \cdot 13 \cdot 37573}{2 ^ {7} \cdot 5 ^ {2}} = 1068\frac{1543}{3200} = 1068.4821875$$