Solve frac{(9*10^{9})*(2,0*10^-9)*(5,0*10^-6)}{(3,0*10^-2)^2}

$$\frac { ( 9 \cdot 10 ^ { 9 } ) \cdot ( 2,0 \cdot 10 ^ { - 9 } ) \cdot ( 5,0 \cdot 10 ^ { - 6 } ) } { ( 3,0 \times 10 ^ { - 2 } ) ^ { 2 } }$$

Evaluate

$$\frac{1}{10}=0,1$$

Solution Steps

Multiply 10^{9} and 10^{-9} to get 1.

$$\frac{9\times 2\times 5\times 10^{-6}}{\left(3\times 10^{-2}\right)^{2}}$$

Multiply 9 and 2 to get 18.

$$\frac{18\times 5\times 10^{-6}}{\left(3\times 10^{-2}\right)^{2}}$$

Multiply 18 and 5 to get 90.

$$\frac{90\times 10^{-6}}{\left(3\times 10^{-2}\right)^{2}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{90\times \frac{1}{1000000}}{\left(3\times 10^{-2}\right)^{2}}$$

Multiply 90 and \frac{1}{1000000} to get \frac{9}{100000}.

$$\frac{\frac{9}{100000}}{\left(3\times 10^{-2}\right)^{2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\frac{9}{100000}}{\left(3\times \frac{1}{100}\right)^{2}}$$

Multiply 3 and \frac{1}{100} to get \frac{3}{100}.

$$\frac{\frac{9}{100000}}{\left(\frac{3}{100}\right)^{2}}$$

Calculate \frac{3}{100} to the power of 2 and get \frac{9}{10000}.

$$\frac{\frac{9}{100000}}{\frac{9}{10000}}$$

Divide \frac{9}{100000} by \frac{9}{10000} by multiplying \frac{9}{100000} by the reciprocal of \frac{9}{10000}.

$$\frac{9}{100000}\times \frac{10000}{9}$$

Multiply \frac{9}{100000} and \frac{10000}{9} to get \frac{1}{10}.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$