Solve 0.8=x*(0.5^2*pi)10^-2

$$0.8=x \times ( { 0.5 }^{ 2 } \times \pi ) { 10 }^{ -2 }$$

Solve for x

$$x = \frac{320}{\pi} \approx 101.859163579$$

Steps for Solving Linear Equation

Calculate 0.5 to the power of 2 and get 0.25.

$$0.8=x\times 0.25\pi \times 10^{-2}$$

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

$$0.8=x\times 0.25\pi \times \frac{1}{100}$$

Multiply 0.25 and \frac{1}{100} to get \frac{1}{400}.

$$0.8=x\times \frac{1}{400}\pi$$

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

$$x\times \frac{1}{400}\pi =0.8$$

The equation is in standard form.

$$\frac{\pi }{400}x=0.8$$

Divide both sides by \frac{1}{400}\pi .

$$\frac{400\times \frac{\pi }{400}x}{\pi }=\frac{0.8\times 400}{\pi }$$

Dividing by \frac{1}{400}\pi undoes the multiplication by \frac{1}{400}\pi .

$$x=\frac{0.8\times 400}{\pi }$$

Divide 0.8 by \frac{1}{400}\pi .

$$x=\frac{320}{\pi }$$