Solve x/8*10^-2=10^31/5*10^-2

$$\frac{ x }{ 8 \times { 10 }^{ -2 } } = { 10 }^{ 3 } \frac{ 1 }{ 5 \times { 10 }^{ -2 } }$$

Solve for x

$$x=1600$$

Steps for Solving Linear Equation

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

$$\frac{x}{8\times \frac{1}{100}}=10^{3}\times \frac{1}{5\times 10^{-2}}$$

Multiply 8 and \frac{1}{100} to get \frac{2}{25}.

$$\frac{x}{\frac{2}{25}}=10^{3}\times \frac{1}{5\times 10^{-2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{x}{\frac{2}{25}}=1000\times \frac{1}{5\times 10^{-2}}$$

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

$$\frac{x}{\frac{2}{25}}=1000\times \frac{1}{5\times \frac{1}{100}}$$

Multiply 5 and \frac{1}{100} to get \frac{1}{20}.

$$\frac{x}{\frac{2}{25}}=1000\times \frac{1}{\frac{1}{20}}$$

Divide 1 by \frac{1}{20} by multiplying 1 by the reciprocal of \frac{1}{20}.

$$\frac{x}{\frac{2}{25}}=1000\times 1\times 20$$

Multiply 1 and 20 to get 20.

$$\frac{x}{\frac{2}{25}}=1000\times 20$$

Multiply 1000 and 20 to get 20000.

$$\frac{x}{\frac{2}{25}}=20000$$

Multiply both sides by \frac{2}{25}.

$$x=20000\times \frac{2}{25}$$

Multiply 20000 and \frac{2}{25} to get 1600.

$$x=1600$$