Solve 20000*(1+5%)*(1+5%)*(1+5%)

$$20000 \times (1+5 \% ) \times (1+5 \% ) \times (1+5 \% )$$

Evaluate

$$\frac{46305}{2}=23152.5$$

Solution Steps

Multiply 1+\frac{5}{100} and 1+\frac{5}{100} to get \left(1+\frac{5}{100}\right)^{2}.

$$20000\left(1+\frac{5}{100}\right)^{2}\left(1+\frac{5}{100}\right)$$

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

$$20000\left(1+\frac{5}{100}\right)^{3}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$20000\left(1+\frac{1}{20}\right)^{3}$$

Convert 1 to fraction \frac{20}{20}.

$$20000\left(\frac{20}{20}+\frac{1}{20}\right)^{3}$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$20000\times \left(\frac{20+1}{20}\right)^{3}$$

Add 20 and 1 to get 21.

$$20000\times \left(\frac{21}{20}\right)^{3}$$

Calculate \frac{21}{20} to the power of 3 and get \frac{9261}{8000}.

$$20000\times \frac{9261}{8000}$$

Express 20000\times \frac{9261}{8000} as a single fraction.

$$\frac{20000\times 9261}{8000}$$

Multiply 20000 and 9261 to get 185220000.

$$\frac{185220000}{8000}$$

Reduce the fraction \frac{185220000}{8000} to lowest terms by extracting and canceling out 4000.

$$\frac{46305}{2}$$

Factor

$$\frac{3 ^ {3} \cdot 5 \cdot 7 ^ {3}}{2} = 23152\frac{1}{2} = 23152.5$$