Solve =9*10^9(5*10^-6)(9*10^-9)/0.3^2

$$= 9 \times 10 ^ { 9 } \frac { ( 5 \times 10 ^ { - 6 } ) ( 9 \times 10 ^ { - 9 } ) } { 0.3 ^ { 2 } }$$

Evaluate

$$0.0045$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -9 to get -15.

$$9\times 10^{9}\times \frac{5\times 10^{-15}\times 9}{0.3^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{5\times 10^{-15}\times 9}{0.3^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{5\times 10^{-15}\times 9}{0.3^{2}}$$

Calculate 10 to the power of -15 and get \frac{1}{1000000000000000}.

$$9000000000\times \frac{5\times \frac{1}{1000000000000000}\times 9}{0.3^{2}}$$

Multiply 5 and \frac{1}{1000000000000000} to get \frac{1}{200000000000000}.

$$9000000000\times \frac{\frac{1}{200000000000000}\times 9}{0.3^{2}}$$

Multiply \frac{1}{200000000000000} and 9 to get \frac{9}{200000000000000}.

$$9000000000\times \frac{\frac{9}{200000000000000}}{0.3^{2}}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$9000000000\times \frac{\frac{9}{200000000000000}}{0.09}$$

Express \frac{\frac{9}{200000000000000}}{0.09} as a single fraction.

$$9000000000\times \frac{9}{200000000000000\times 0.09}$$

Multiply 200000000000000 and 0.09 to get 18000000000000.

$$9000000000\times \frac{9}{18000000000000}$$

Reduce the fraction \frac{9}{18000000000000} to lowest terms by extracting and canceling out 9.

$$9000000000\times \frac{1}{2000000000000}$$

Multiply 9000000000 and \frac{1}{2000000000000} to get \frac{9}{2000}.

$$\frac{9}{2000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4} \cdot 5 ^ {3}} = 0.0045$$