Q: How is 6 to the power of negative 2 different from 6 to the power of 2?

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6-2 = 0.02777777777

-2-6 = -0.015625 (or -1/64)

1/2, or .5When you raise a number to a negative power, you are dividing one by that number to the positive version of that power. For example, 5^-6 = 1/(5^6).So, 2^-1 = 1/(2^1), or 1/2, which = .5

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-64 -(26) = -64 (-2)6 = 64

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(-6)^2 = (-6)(-6) = 36

Exactly! -6 to the power of 2 means "-6 times -6". That's a negative times a negative, and the answer is positive 36.

2-6 = 1/64

2^-6 = 1/(2^6) = 1/64 = 0.015625

6-2 = 0.02777777777

-2-6 = -0.015625 (or -1/64)

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6 to the -2nd power = 1/366-2 = 1/62 = 1/36

( a-6) x (a4) = a(-6+4) = a-2 = 1/a2

1/2, or .5When you raise a number to a negative power, you are dividing one by that number to the positive version of that power. For example, 5^-6 = 1/(5^6).So, 2^-1 = 1/(2^1), or 1/2, which = .5

10 the the negative 6 power= 0.000001

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