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a number to the power of 0 is one. Observe below: 10 to the power 5 = 100000 10 to the power 4= 10000 10 to the power 3 = 1000 10 to the power 2= 100 10 to the power 1 = 10 10 to the power 0 = 1 ______________ Same conclusion, different view:

Any real number (other than zero) to the 0th power equals 1 (one). This is related to the subtraction of exponents being equivalent to division. 10 to the 7th power divided by 10 to the 4th power equals 10 to the 3rd power; you subtract exponents. 10 to the 7th power divided by 10 to the 7th power would of course equal 1, and if you subtract exponents you would have 10 to the 0th power.

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The difference between an exponential number and a power of 10?

Exponential numbers are in the form ax where a and x are real numbers. A power of 10 is any number in the form 10x. By definition this is an exponential number. If by "an exponential number" you mean THE exponential number, e, then the difference lies in the value of the base. e is a transcendental number (just like pi) with a value of approximately 2.71818182859045235... Just like pi, this decimal theoretically does not terminate and does not repeat i.e. goes on for an infinite number of places. e is known as the "natural base" because it appears in many natural structures from logarithms to compound interest to complex numbers.


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