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Earn +20 ptsQ: A to the 1 divided by n power?
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Why is a number raise to zero is equal to one?
x to the n divided by x to the n is 1. By the law of powers x to the power n divided by x to the power n is x to the power (n minus n), ie x to the power zero. Things which are equal to the same thing are equal to each other. Therefore x to the power zero = 1. (Unless x = zero!)
What is 2n to the second power divided by n?
2n2 / n = 2n
What is 2 to zero power?
1. All numbers to the zero power are 1. Take any number a^n we know that a^n/a^n=1 since anything divided by itself is 1. We also know the rule for division tells us a^n/a^n= a^(n-n)=a^0. so it is 1. 0^0 is usually defined as 1, but in some context people say it is indeterminate.
Why is anything to the power of one?
It isn't. You're thinking of anything to the power zero. x0 = x(n - n) which equals xn divided by xn which equals 1.
What is n raised to the power n-1?
n-1 = 1/n
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