0⁰ का डर | गणित का एक ऐसा रहस्य्मयी नंबर जिसको वैज्ञानिक अभी तक नहीं जान पाए | What is 0⁰
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What is zero raised to
What is zero raised to the power of zero? This is a question that asked more than 35 billion and 378 million times. And 98% of people hasn’t answered correctly. First, what does 2⁵ mean? It means 2 times 2 times 2 times 2 times 2. In other words, multiply 2 by itself 5 times. Now, we can say 0⁰ means “multiply zero by itself 0 times”. Hmmm, that’s awkward.
Let’s go to different directions and find the other powers.
Once when we see an exponential equation such as 0⁹ = 0 , we will say “zero to the ninth power is zero”. It looks like 0⁰ = 0. But 0 to the -5th power is 1 over 0 which is undefined and same with 0 to the -100th power. The negative exponents indicate 0⁰ should be undefined. Let’s attack this from a different angle. Other numbers raised to 0 equal 1.This pattern indicates that 0⁰ should also be 1. So, it looks like there isn’t certainly a particular accurate solution? Which is exact? Nonetheless depending on the situation, you work in one answer may be better than the others. The best explanation should be reliable, reduce needless complexity, and be beneficial.
Most theoreticians choose that in many cases, 1 is the finest definition for 0⁰. Let’s look at two reasons for this. a raise to b can be viewed as the number of sets of b elements that can be chosen from a set of a elements.
And 0⁰ is the amount of sets of zero elements that can be selected from a set of zero elements. Which must be 1! So, 1 is the only definition reliable with this understanding of exponentiation.
So what is 0⁰? It depends! Often, 1 is the best answer. However, when dealing with limits, “undefined” or “indeterminate form” os more sensible. Depending on the type of math we are doing, even definitions and conventions can change!
Now to know more watch this video till the end.
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0⁰ का डर | गणित का एक ऐसा रहस्य्मयी नंबर जिसको वैज्ञानिक अभी तक नहीं जान पाए | What is 0⁰
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