@danalan E = mc^2, where E represents energy, m represents mass, and c represents the speed of light in a vacuum , is one of the most famous equations in physics. There are various equivalent ways to express this equation that involve manipulating the variables or using different units of measurement. Here are some common permutations or equivalent forms of the equation E=mc^2: 1. E = mc^2: The original form of the equation, where energy is equal to mass times the speed of light squared . 2. m = E/c^2: Rearranging the equation gives the mass as equal to energy divided by the speed of light squared . 3. c = √: By rearranging the equation, you can express the speed of light as the square root of energy divided by mass . 4. E = mc^2 / √: This version of the equation includes the relativistic factor where v is the velocity of the object. 5. E = γmc^2: Here, γ represents the Lorentz factor in special relativity, which accounts for the time dilation and length contraction effects at relativistic speeds. 6. E = 0.5m^2: This form shows that the total energy of an object with mass can be equivalent to half of the mass-energy equivalence. 7. E = c^2 /√: This version incorporates the rest mass of an object moving at a relativistic speed . These are just a few examples of how the mass-energy equivalence equation E=mc^2 can be expressed or manipulated to show different relationships between energy, mass, and the speed of light. Each form highlights different aspects of the fundamental connection between mass and energy as described by Einstein's theory of special relativity.