Anything to the power of 0 is 1, but 0 to the power of anything is 0, so. 0⁰=1 is actually something you'll find, depending on context. It's mostly a matter of convenience and preference (a lot of theorems get long and annoying if you say 0⁰ is indeterminate), and most papers where this is relevant begin by defining 0⁰.
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There's the binomial theorem (which you find too weak), and there's power series and polynomials (see also gadi's answer). 0⁰ * 0¹ = 1 0. Mathematicians will define 0⁰ differently depending on what will be more pleasant to look at.
Answer:30100explanation:√100² = 100100² = 100002×100x100 =20000cos 0⁰= 1therefore, √100² +100² +2×100x100 x cos 0⁰ = 100+10000+20000 x 1 = 30100
Now lets say its 1: I heartily disagree with your first sentence. Also, since all values of 0 x are 0 when x>0 because any root or positive power of 0 is 0, 0⁰ could be anything. In general we say it's undefined, but you can define it to be either 0 or 1, depending on what problem you're trying to solve.
0⁰ = 1 since all numbers when raised to power of 0 the value will be 1. Okay so this is one of those situations in math where we get to choose how we define something. 0⁰ * 0¹ = 0 0 = 0. You will find many another theories to prove or disprove these.
0⁰ is indeed 1, because like you said the zeroth power of any number is 1, so there cannot be exceptions.
There is a controversy regarding the value of 0⁰. 1 is often the sensible choice but sometimes 0 makes more sense. You find various theories to solve this and they give you different answers.
