Negative 6 raised to the negative 2 power is 1/36. Basically, you're flipping negative 6 (which is already negative) and then squaring it (making it positive). It's like turning a frown upside down, math style.
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Well, isn't that a happy little math problem! When you have a negative number raised to a negative exponent, you can think of it as taking the reciprocal of the base and making the exponent positive. So, in this case, negative 6 raised to the negative 2 power is equal to 1 over negative 6 squared, which simplifies to 1/36. Just a little math magic to brighten your day!
Positive 1 over 6 raised to the 2nd power 1/62 or 1 over 36 which is 1/36. To find -6-2, take the inverse of -62.
(first find -62) -62 = -6 * -6 = 36
(then take the inverse of 36, which is 1 over 36) = 1 / 36 = 0.0277
so, -6-2 =0.0277
(-6)^2 = (-6)(-6) = 36
26 = 64
Ah, let's paint a happy little picture with numbers here. When we have a negative exponent like -2, we can flip the base to make it positive. So, 6 to the negative 2nd power is the same as 1 over 6 squared, which simplifies to 1 over 36. Just a little math magic to brighten your day!
6 to the -2nd power = 1/366-2 = 1/62 = 1/36
10 the the negative 6 power= 0.000001