Solve 5*10^-4*10^-2/9*10^9=x

$$\frac{ 5 \times { 10 }^{ -4 } \times { 10 }^{ -2 } }{ 9 \times { 10 }^{ 9 } } =x$$

Solve for x

$$x=\frac{1}{1800000000000000}\approx 5.555555556 \cdot 10^{-16}$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -4 and -2 to get -6.

$$\frac{5\times 10^{-6}}{9\times 10^{9}}=x$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{5}{9\times 10^{15}}=x$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{5}{9\times 1000000000000000}=x$$

Multiply 9 and 1000000000000000 to get 9000000000000000.

$$\frac{5}{9000000000000000}=x$$

Reduce the fraction \frac{5}{9000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{1800000000000000}=x$$

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

$$x=\frac{1}{1800000000000000}$$