Solve 2*(1+5%)*(1+5%)*(1+5%)

$$2 \times (1+5 \% ) \times (1+5 \% ) \times (1+5 \% )$$

Evaluate

$$\frac{9261}{4000}=2.31525$$

Solution Steps

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

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

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

$$2\left(1+\frac{5}{100}\right)^{3}$$

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

$$2\left(1+\frac{1}{20}\right)^{3}$$

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

$$2\left(\frac{20}{20}+\frac{1}{20}\right)^{3}$$

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

$$2\times \left(\frac{20+1}{20}\right)^{3}$$

Add 20 and 1 to get 21.

$$2\times \left(\frac{21}{20}\right)^{3}$$

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

$$2\times \frac{9261}{8000}$$

Express 2\times \frac{9261}{8000} as a single fraction.

$$\frac{2\times 9261}{8000}$$

Multiply 2 and 9261 to get 18522.

$$\frac{18522}{8000}$$

Reduce the fraction \frac{18522}{8000} to lowest terms by extracting and canceling out 2.

$$\frac{9261}{4000}$$

Factor

$$\frac{3 ^ {3} \cdot 7 ^ {3}}{2 ^ {5} \cdot 5 ^ {3}} = 2\frac{1261}{4000} = 2.31525$$