Solve 0.1^2/left(10^-6right)^2=0.1/x

$$\frac{ { 0.1 }^{ 2 } }{ { \left( { 10 }^{ -6 } \right) }^{ 2 } } = \frac{ 0.1 }{ x }$$

Solve for x

$$x=0.00000000001$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$1000000000000x\times 0.1^{2}=0.1$$

Calculate 0.1 to the power of 2 and get 0.01.

$$1000000000000x\times 0.01=0.1$$

Multiply 1000000000000 and 0.01 to get 10000000000.

$$10000000000x=0.1$$

Divide both sides by 10000000000.

$$x=\frac{0.1}{10000000000}$$

Expand \frac{0.1}{10000000000} by multiplying both numerator and the denominator by 10.

$$x=\frac{1}{100000000000}$$