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Why any number power 0 =1?

Last Updated : 06 Feb, 2024
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Answer: Any number raised to the power of 0 equals 1, and there’s a neat mathematical reason behind this. It’s based on the rules of exponents, which are like shortcuts for handling multiplication of the same number.

Let’s take an example: 2^3 (which is 2 to the power of 3) means 2 multiplied by itself 3 times (2 * 2 * 2), equaling 8. Now, if we decrease the power by 1, we divide the result by 2 (the base). So, 2^2 (2 to the power of 2) is 4, and 2^1 (2 to the power of 1) is 2.

Following this pattern, if we go one step lower to 2^0, we should divide 2 by 2. This gives us 1. This rule applies to any number. When you decrease the exponent by 1, you divide by the number itself, and when you reach the power of 0, you’ve essentially divided the number by itself until only 1 remains. That’s why any number to the power of 0 is 1.

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