Solve x=220*40*10^-3/frac{20*10^-3(80*10^-3)^3{12}}

$$x = \frac { 220 \times 40 \times 10 ^ { - 3 } } { \frac { 20 \times 10 ^ { - 3 } ( 80 \times 10 ^ { - 3 } ) ^ { 3 } } { 12 } }$$

Solve for x

$$x=10312500$$

Steps for Solving Linear Equation

Multiply 220 and 40 to get 8800.

$$x=\frac{8800\times 10^{-3}}{\frac{20\times 10^{-3}\times \left(80\times 10^{-3}\right)^{3}}{12}}$$

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

$$x=\frac{8800\times \frac{1}{1000}}{\frac{20\times 10^{-3}\times \left(80\times 10^{-3}\right)^{3}}{12}}$$

Multiply 8800 and \frac{1}{1000} to get \frac{44}{5}.

$$x=\frac{\frac{44}{5}}{\frac{20\times 10^{-3}\times \left(80\times 10^{-3}\right)^{3}}{12}}$$

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

$$x=\frac{\frac{44}{5}}{\frac{20\times \frac{1}{1000}\times \left(80\times 10^{-3}\right)^{3}}{12}}$$

Multiply 20 and \frac{1}{1000} to get \frac{1}{50}.

$$x=\frac{\frac{44}{5}}{\frac{\frac{1}{50}\times \left(80\times 10^{-3}\right)^{3}}{12}}$$

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

$$x=\frac{\frac{44}{5}}{\frac{\frac{1}{50}\times \left(80\times \frac{1}{1000}\right)^{3}}{12}}$$

Multiply 80 and \frac{1}{1000} to get \frac{2}{25}.

$$x=\frac{\frac{44}{5}}{\frac{\frac{1}{50}\times \left(\frac{2}{25}\right)^{3}}{12}}$$

Calculate \frac{2}{25} to the power of 3 and get \frac{8}{15625}.

$$x=\frac{\frac{44}{5}}{\frac{\frac{1}{50}\times \frac{8}{15625}}{12}}$$

Multiply \frac{1}{50} and \frac{8}{15625} to get \frac{4}{390625}.

$$x=\frac{\frac{44}{5}}{\frac{\frac{4}{390625}}{12}}$$

Express \frac{\frac{4}{390625}}{12} as a single fraction.

$$x=\frac{\frac{44}{5}}{\frac{4}{390625\times 12}}$$

Multiply 390625 and 12 to get 4687500.

$$x=\frac{\frac{44}{5}}{\frac{4}{4687500}}$$

Reduce the fraction \frac{4}{4687500} to lowest terms by extracting and canceling out 4.

$$x=\frac{\frac{44}{5}}{\frac{1}{1171875}}$$

Divide \frac{44}{5} by \frac{1}{1171875} by multiplying \frac{44}{5} by the reciprocal of \frac{1}{1171875}.

$$x=\frac{44}{5}\times 1171875$$

Multiply \frac{44}{5} and 1171875 to get 10312500.

$$x=10312500$$

Assign x

$$x≔10312500$$