Solve 1600/10^5*2=10^4*2x

$$\frac { 1600 } { 10 ^ { 5 } \times 2 } = 10 ^ { 4 } \times 2 x$$

Solve for x

$$x=\frac{1}{2500000}=0.0000004$$

Steps for Solving Linear Equation

Calculate 10 to the power of 5 and get 100000.

$$\frac{1600}{100000\times 2}=10^{4}\times 2x$$

Multiply 100000 and 2 to get 200000.

$$\frac{1600}{200000}=10^{4}\times 2x$$

Reduce the fraction \frac{1600}{200000} to lowest terms by extracting and canceling out 1600.

$$\frac{1}{125}=10^{4}\times 2x$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{1}{125}=10000\times 2x$$

Multiply 10000 and 2 to get 20000.

$$\frac{1}{125}=20000x$$

Swap sides so that all variable terms are on the left hand side.

$$20000x=\frac{1}{125}$$

Divide both sides by 20000.

$$x=\frac{\frac{1}{125}}{20000}$$

Express \frac{\frac{1}{125}}{20000} as a single fraction.

$$x=\frac{1}{125\times 20000}$$

Multiply 125 and 20000 to get 2500000.

$$x=\frac{1}{2500000}$$