So, the very concept of power in its naive terms is repeated multiplication, right? So, for example, 3⁴ = 3 * 3 * 3 * 3.
When you elevate a number to the power of a sum x^(a+b), what you are basically doing is multiplying the number a times and then multiplying it again b times, which is equivalent to x^a * x^b
This also mean that x⁰ multiplied by x is equal to x^(0+1), which is x¹, which is just x. But if anything multiplied by x is x, then that something is 1. No other number, when multiplied by any number, yields that very number.
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