Solve 3*10^-3=x*0.02^2*0.02

$$3 \times { 10 }^{ -3 } =x \times { 0.02 }^{ 2 } \times 0.02$$

Solve for x

$$x=375$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3\times 10^{-3}=x\times 0.02^{3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$3\times \frac{1}{1000}=x\times 0.02^{3}$$

Multiply 3 and \frac{1}{1000} to get \frac{3}{1000}.

$$\frac{3}{1000}=x\times 0.02^{3}$$

Calculate 0.02 to the power of 3 and get 0.000008.

$$\frac{3}{1000}=x\times 0.000008$$

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

$$x\times 0.000008=\frac{3}{1000}$$

Divide both sides by 0.000008.

$$x=\frac{\frac{3}{1000}}{0.000008}$$

Express \frac{\frac{3}{1000}}{0.000008} as a single fraction.

$$x=\frac{3}{1000\times 0.000008}$$

Multiply 1000 and 0.000008 to get 0.008.

$$x=\frac{3}{0.008}$$

Expand \frac{3}{0.008} by multiplying both numerator and the denominator by 1000.

$$x=\frac{3000}{8}$$

Divide 3000 by 8 to get 375.

$$x=375$$