Solve 9*10%(3*10^8)^2

$$9 \times 10 \% ( 3 \times 10 ^ { 8 } ) ^ { 2 }$$

Evaluate

$$81000000000000000$$

Solution Steps

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

$$9\times \frac{1}{10}\times \left(3\times 10^{8}\right)^{2}$$

Multiply 9 and \frac{1}{10} to get \frac{9}{10}.

$$\frac{9}{10}\times \left(3\times 10^{8}\right)^{2}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{9}{10}\times \left(3\times 100000000\right)^{2}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{9}{10}\times 300000000^{2}$$

Calculate 300000000 to the power of 2 and get 90000000000000000.

$$\frac{9}{10}\times 90000000000000000$$

Multiply \frac{9}{10} and 90000000000000000 to get 81000000000000000.

$$81000000000000000$$

Factor

$$2^{15}\times 3^{4}\times 5^{15}$$