Solve DeltaL=500*4/200*10^9*0.05*10^-4

$$\Delta L = \frac { 500 \times 4 } { 200 \times 10 ^ { 9 } \times 0.05 \times 10 ^ { - 4 } }$$

Solve for L

$$L=\frac{1}{500\Delta }$$

$$\Delta \neq 0$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 9 and -4 to get 5.

$$\Delta L=\frac{500\times 4}{200\times 10^{5}\times 0.05}$$

Cancel out 2\times 100 in both numerator and denominator.

$$\Delta L=\frac{2\times 5}{0.05\times 10^{5}}$$

Multiply 2 and 5 to get 10.

$$\Delta L=\frac{10}{0.05\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\Delta L=\frac{10}{0.05\times 100000}$$

Multiply 0.05 and 100000 to get 5000.

$$\Delta L=\frac{10}{5000}$$

Reduce the fraction \frac{10}{5000} to lowest terms by extracting and canceling out 10.

$$\Delta L=\frac{1}{500}$$

Divide both sides by \Delta .

$$\frac{\Delta L}{\Delta }=\frac{\frac{1}{500}}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$L=\frac{\frac{1}{500}}{\Delta }$$

Divide \frac{1}{500} by \Delta .

$$L=\frac{1}{500\Delta }$$

Solve for Δ

$$\Delta =\frac{1}{500L}$$

$$L\neq 0$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 9 and -4 to get 5.

$$\Delta L=\frac{500\times 4}{200\times 10^{5}\times 0.05}$$

Cancel out 2\times 100 in both numerator and denominator.

$$\Delta L=\frac{2\times 5}{0.05\times 10^{5}}$$

Multiply 2 and 5 to get 10.

$$\Delta L=\frac{10}{0.05\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\Delta L=\frac{10}{0.05\times 100000}$$

Multiply 0.05 and 100000 to get 5000.

$$\Delta L=\frac{10}{5000}$$

Reduce the fraction \frac{10}{5000} to lowest terms by extracting and canceling out 10.

$$\Delta L=\frac{1}{500}$$

The equation is in standard form.

$$L\Delta =\frac{1}{500}$$

Divide both sides by L.

$$\frac{L\Delta }{L}=\frac{\frac{1}{500}}{L}$$

Dividing by L undoes the multiplication by L.

$$\Delta =\frac{\frac{1}{500}}{L}$$

Divide \frac{1}{500} by L.

$$\Delta =\frac{1}{500L}$$