Solve (2.0*10^4)=(2.4*10^-7)/x

$$( 2.0 \times 10 ^ { 4 } ) = \frac { ( 2.4 \times 10 ^ { - 7 } ) } { x }$$

Solve for x

$$x=0.000000000012$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$2\times 10^{4}x=2.4\times 10^{-7}$$

Calculate 10 to the power of 4 and get 10000.

$$2\times 10000x=2.4\times 10^{-7}$$

Multiply 2 and 10000 to get 20000.

$$20000x=2.4\times 10^{-7}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$20000x=2.4\times \frac{1}{10000000}$$

Multiply 2.4 and \frac{1}{10000000} to get \frac{3}{12500000}.

$$20000x=\frac{3}{12500000}$$

Divide both sides by 20000.

$$x=\frac{\frac{3}{12500000}}{20000}$$

Express \frac{\frac{3}{12500000}}{20000} as a single fraction.

$$x=\frac{3}{12500000\times 20000}$$

Multiply 12500000 and 20000 to get 250000000000.

$$x=\frac{3}{250000000000}$$