Solve 0.25*10^-4=x*10^-2

$$0.25 \times { 10 }^{ -4 } = x \times { 10 }^{ -2 }$$

Solve for x

$$x=0.0025$$

Steps for Solving Linear Equation

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$0.25\times \frac{1}{10000}=x\times 10^{-2}$$

Multiply 0.25 and \frac{1}{10000} to get \frac{1}{40000}.

$$\frac{1}{40000}=x\times 10^{-2}$$

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

$$\frac{1}{40000}=x\times \frac{1}{100}$$

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

$$x\times \frac{1}{100}=\frac{1}{40000}$$

Multiply both sides by 100, the reciprocal of \frac{1}{100}.

$$x=\frac{1}{40000}\times 100$$

Multiply \frac{1}{40000} and 100 to get \frac{1}{400}.

$$x=\frac{1}{400}$$