In algebra, 0^0 equals 1 because of the empty product rule: when you reduce the power of any number to zero, the only remaining factor is 1 (the multiplicative identity). For example, 2^2 = 2×2, 2^1 = 1×2, and 2^0 = 1; similarly, 0^0 = 1. This is why calculators and algebra use 0^0 = 1, though in calculus it can be indeterminate depending on the limit context.
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why 0^0 = 1 in 9 Seconds #maths #mathtricks #shortsAdded:
Why zero power zero is one. [music] To understand this, we have to understand first that why anything power zero is equals to one. For example, [music] two power two is equals to two multiplied two. But there is a secret multiplied one. And similarly, two power one is equals to one multiplied [music] two. So each time we reduce the power, a two is reducing. So when we reduce power to two power zero, the only remaining thing will be one.
So when the zero power is non-zero, the result will be zero because one multiplied zero is zero. But when we reduce the power of zero to zero, [music] the only remaining thing will be one.
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