Solve 510^-220/10002=x9.8/10005

$$5 { 10 }^{ -2 } \frac{ 20 }{ 1000 } 2 = x \frac{ 9.8 }{ 1000 } 5$$

Solve for x

$$x=\frac{2}{49}\approx 0.040816327$$

Steps for Solving Linear Equation

Cancel out 5 on both sides.

$$10^{-2}\times \frac{20}{1000}\times 2=x\times \frac{9.8}{1000}$$

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

$$\frac{1}{100}\times \frac{20}{1000}\times 2=x\times \frac{9.8}{1000}$$

Reduce the fraction \frac{20}{1000} to lowest terms by extracting and canceling out 20.

$$\frac{1}{100}\times \frac{1}{50}\times 2=x\times \frac{9.8}{1000}$$

Multiply \frac{1}{100} and \frac{1}{50} to get \frac{1}{5000}.

$$\frac{1}{5000}\times 2=x\times \frac{9.8}{1000}$$

Multiply \frac{1}{5000} and 2 to get \frac{1}{2500}.

$$\frac{1}{2500}=x\times \frac{9.8}{1000}$$

Expand \frac{9.8}{1000} by multiplying both numerator and the denominator by 10.

$$\frac{1}{2500}=x\times \frac{98}{10000}$$

Reduce the fraction \frac{98}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2500}=x\times \frac{49}{5000}$$

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

$$x\times \frac{49}{5000}=\frac{1}{2500}$$

Multiply both sides by \frac{5000}{49}, the reciprocal of \frac{49}{5000}.

$$x=\frac{1}{2500}\times \frac{5000}{49}$$

Multiply \frac{1}{2500} and \frac{5000}{49} to get \frac{2}{49}.

$$x=\frac{2}{49}$$