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How would you evaluate the expression for 4x to the power of -6y to the power of -2?
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So that would look like:
$$4x^{-6y^{-2}}$$
So it depends on what you mean by `how would you evaluate that'. Negative powers generally means putting the value in a denominator; e.g.:
$$\frac{1}{4x^{\frac{1}{6y^2}}}$$
(4x)^{(-6y)^{2}} so that could be written as (4x)^{36y^{2}}
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$$(4x)^{36y ^{2}}$$
I agree with the 36 in TBates's answer, but I believe the negative sign on the 2 was lost.
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