Because 9 times 9 equals 81.
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It is: 9^2 = 81
2^9 = 512 9^2 = 81
9 to negative 2 = 1/9 to plus 2 = 1/81
9 to the 2 power is 81 9x9=81 When you are calculating powers you are really multiplying the first number by itself the number of times the second number says. so for 9 to the 2 power you are multiplying 9 by itself 2 times
Well, isn't that just a happy little math question! When you see "log base 81 of 9," you're looking for the power you need to raise 81 to get 9. Since 81 to the power of 1/2 equals 9, the answer is 1/2. Just a little mathematical magic to brighten your day!