3⁰ find the value solve question
Answers
Answer:
3⁰ is nothing but equal to one
Step-by-step explanation:
The require answer is 1.
let's go back and think about what power means. When we raise a number to the nth power, it actually means multiplying that number by itself n times, so for example 22 = 2*2 = 4, 23 = 2*2*2 = 8, 34 = 3*3 *3* 3 = 81 and so on. So when we raise a number to the zero power, it means that we are multiplying the number itself by zero times - but that means we are not multiplying anything at all! What does it mean? Well, let's go back even further to the simplest case: addition. What happens if we don't add any numbers? Well, we'd expect to get zero because we're not adding anything at all. But zero is also a very special number: it's called the additive identity because it's the only number you can add to any other number and keep the other the same. In short, 0 is the only number such that x + 0 = x for any number x. So from this reasoning, it makes sense that if adding no numbers at all returns an additive identity, multiplying no numbers should return a multiplicative identity. What is multiplicative identity? Well, it is the only number that can be multiplied by any other number without changing that other number. In short, the multiplicative identity is the number 1 because for any other number x, 1*x = x. So the reason any number to the zero power is one because any number to the zero power is just the product of no numbers, which is the multiplicative identity, 1.
As per the question we need to find the value of 3^0.
we know that a^0=1.
Therefore 3^0=1.
Hence the require answer is 1.
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