Solve E=c_{1}63*10^-34*3000000/750*20^-9

$$E = c _ { 1 } 63 \cdot 10 ^ { - 34 } \cdot \frac { 3000000 } { 750 \cdot 20 ^ { - 9 } }$$

Solve for E

$$E=\frac{63c_{1}}{4882812500000000000}$$

Solution Steps

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$E=c_{1}\times 63\times \frac{1}{10000000000000000000000000000000000}\times \frac{3000000}{750\times 20^{-9}}$$

Multiply 63 and \frac{1}{10000000000000000000000000000000000} to get \frac{63}{10000000000000000000000000000000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times \frac{3000000}{750\times 20^{-9}}$$

Calculate 20 to the power of -9 and get \frac{1}{512000000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times \frac{3000000}{750\times \frac{1}{512000000000}}$$

Multiply 750 and \frac{1}{512000000000} to get \frac{3}{2048000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times \frac{3000000}{\frac{3}{2048000000}}$$

Divide 3000000 by \frac{3}{2048000000} by multiplying 3000000 by the reciprocal of \frac{3}{2048000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times 3000000\times \frac{2048000000}{3}$$

Multiply 3000000 and \frac{2048000000}{3} to get 2048000000000000.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times 2048000000000000$$

Multiply \frac{63}{10000000000000000000000000000000000} and 2048000000000000 to get \frac{63}{4882812500000000000}.

$$E=c_{1}\times \frac{63}{4882812500000000000}$$

Solve for c_1

$$c_{1}=\frac{4882812500000000000E}{63}$$

Steps for Solving Linear Equation

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$E=c_{1}\times 63\times \frac{1}{10000000000000000000000000000000000}\times \frac{3000000}{750\times 20^{-9}}$$

Multiply 63 and \frac{1}{10000000000000000000000000000000000} to get \frac{63}{10000000000000000000000000000000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times \frac{3000000}{750\times 20^{-9}}$$

Calculate 20 to the power of -9 and get \frac{1}{512000000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times \frac{3000000}{750\times \frac{1}{512000000000}}$$

Multiply 750 and \frac{1}{512000000000} to get \frac{3}{2048000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times \frac{3000000}{\frac{3}{2048000000}}$$

Divide 3000000 by \frac{3}{2048000000} by multiplying 3000000 by the reciprocal of \frac{3}{2048000000}.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times 3000000\times \frac{2048000000}{3}$$

Multiply 3000000 and \frac{2048000000}{3} to get 2048000000000000.

$$E=c_{1}\times \frac{63}{10000000000000000000000000000000000}\times 2048000000000000$$

Multiply \frac{63}{10000000000000000000000000000000000} and 2048000000000000 to get \frac{63}{4882812500000000000}.

$$E=c_{1}\times \frac{63}{4882812500000000000}$$

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

$$c_{1}\times \frac{63}{4882812500000000000}=E$$

The equation is in standard form.

$$\frac{63}{4882812500000000000}c_{1}=E$$

Divide both sides of the equation by \frac{63}{4882812500000000000}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{63}{4882812500000000000}c_{1}}{\frac{63}{4882812500000000000}}=\frac{E}{\frac{63}{4882812500000000000}}$$

Dividing by \frac{63}{4882812500000000000} undoes the multiplication by \frac{63}{4882812500000000000}.

$$c_{1}=\frac{E}{\frac{63}{4882812500000000000}}$$

Divide E by \frac{63}{4882812500000000000} by multiplying E by the reciprocal of \frac{63}{4882812500000000000}.

$$c_{1}=\frac{4882812500000000000E}{63}$$