Solve 6000(1+10/100)^2

$$6000 ( 1 + \frac { 10 } { 100 } ) ^ { 2 }$$

Evaluate

$$7260$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$6000\left(1+\frac{1}{10}\right)^{2}$$

Add 1 and \frac{1}{10} to get \frac{11}{10}.

$$6000\times \left(\frac{11}{10}\right)^{2}$$

Calculate \frac{11}{10} to the power of 2 and get \frac{121}{100}.

$$6000\times \frac{121}{100}$$

Multiply 6000 and \frac{121}{100} to get 7260.

$$7260$$

Factor

$$2^{2}\times 3\times 5\times 11^{2}$$