Solve 2(9*10)*(1*10)*(1*10^-1)/(3*10^-3)^2

$$\frac { 2 ( 9 \times 10 ) \times ( 1 \times 10 ) \times ( 1 \times 10 ^ { - 1 } ) } { ( 3 \times 10 ^ { - 3 } ) ^ { 2 } }$$

Evaluate

$$20000000$$

Solution Steps

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

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

Multiply 2 and 9 to get 18.

$$\frac{18\times 1\times 10\times 1}{\left(3\times 10^{-3}\right)^{2}}$$

Multiply 18 and 1 to get 18.

$$\frac{18\times 10\times 1}{\left(3\times 10^{-3}\right)^{2}}$$

Multiply 18 and 10 to get 180.

$$\frac{180\times 1}{\left(3\times 10^{-3}\right)^{2}}$$

Multiply 180 and 1 to get 180.

$$\frac{180}{\left(3\times 10^{-3}\right)^{2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{180}{\left(3\times \frac{1}{1000}\right)^{2}}$$

Multiply 3 and \frac{1}{1000} to get \frac{3}{1000}.

$$\frac{180}{\left(\frac{3}{1000}\right)^{2}}$$

Calculate \frac{3}{1000} to the power of 2 and get \frac{9}{1000000}.

$$\frac{180}{\frac{9}{1000000}}$$

Divide 180 by \frac{9}{1000000} by multiplying 180 by the reciprocal of \frac{9}{1000000}.

$$180\times \frac{1000000}{9}$$

Multiply 180 and \frac{1000000}{9} to get 20000000.

$$20000000$$

Factor

$$2^{8}\times 5^{7}$$