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-3 to the -2 is the same as 1 divided by -3 to the plus 2
Since -3 to the plus 2 is plus 9 ( minus 3 times minus 3 = plus 9) then
that is 1 divided by plus 9 = 1/9 which is POSITIVE
Positive 3 is > 0 while, negative 2 is < 0. So positive 3 > negative 2.
yes, but the answer will remain negative. for example, (-2)3 is -8 in order to make a negative number positive, it must be raised to an even power, for example (-2)2 = 4
No, or more accurately "not necessarily".A negative to any even power is positive. -2, -4, -6 etc. are even, so a negative number raised to any of those powers will be positive.However, a negative number raised to an odd negative power (-1, -3, -5 etc.) will be negative.
It depends on the arithmetic operation you are performing:---------------------------------In AdditionNegatives and negatives have a negative sum. The only way to obtain a positive sum is to have a larger positive value than negative value.(-1) + (-2) = (-3)----------------------------In subtractionSubtracting a negative number is the same as adding its negative value (which is positive).(-1) - (-3) = (-1) + 3 = 2-------------------------------In MultiplicationThe product of two negatives is a positive. The product of a negative and a positive is negative.(-1) x (-2) = 2(-3) x (4) = (-12)------------------------------In DivisionDividing a negative by a negative yields a positive number.Dividing a negative by a positive, or a positive by a negative, yields a negative number.(-4) / (-2) = 2(-4) / 2 = (-2)4 / (-2) = (-2)By re-multiplying from the results, you can see that this holds true.
A negative can be thought of as being the opposite of something. The opposite of a negative is positive so the negative of a negative is positive. Example: (-2)(-3) = (-1)(2)(-1)(3) = (-1)(-1)(2)(3) = (-1)2(6) = (1)(6) = 6