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The exponent $0$ provides $0$ power (i.e. gives no power of transformation), so $3^0$ gives no power of transformation to the number $1$, so $3^0=1$. Once you have the intuitive understanding, you can use the simple rules with confidence.
- The Shape of Mathematical Self-Tutelage
I am interested primarily in physics, and I am generally...
- The Shape of Mathematical Self-Tutelage
18 lut 2016 · Raise a number to the power of 1 means you have one of that number, raise to the power of 2 means you have two of the number multiplied together, power 3 means three of the...
6 cze 2021 · 😉 In this exponents tutorial I explain why any number to the power of 0 (zero power) always equals 1. I provide Illustrations that explain the zero exponent rule. I also explain...
28 lip 2023 · Why is anything to power 0 equal to 1? Consider first a^5/a^3 . As you know this is the same as (a*a*a*a*a)/(a*a*a) = a^2 So to get the result we subtracted the powers to give 5-3 = 2 . What about (a*a*a)/(a*a*a) = a^(3-3) = a^0 ? But we know that a^3/a^3 = 1, and so a^0 = 1 .
Something to the power of 2 is x 2 and something to the power of -2 is 1/x 2 and when you multiply things you can add up their powers, as long as the base is the same. So when you multiply x 2 and 1/x 2 you get x 2 /x 2 which is x 0 because you added up 2 and -2, and x 2 /x 2 is one.
Brett explains why raising any non-zero real number to the zero power results in 1 using only basic math. She also discusses what zero to the zero power equa...
Answer: As already explained, the answer to (-1)0 is 1 since we are raising the number -1 (negative 1) to the power zero. However, in the case of -10, the negative sign does not signify the number negative one, but instead signifies the opposite number of what follows.
