OpenStudy (anonymous):

How would you evaluate the expression for 4x to the power of -6y to the power of -2?

7 years ago
OpenStudy (shadowfiend):

So that would look like:

7 years ago
OpenStudy (shadowfiend):

$$4x^{-6y^{-2}}$$

7 years ago
OpenStudy (shadowfiend):

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.:

7 years ago
OpenStudy (shadowfiend):

$$\frac{1}{4x^{\frac{1}{6y^2}}}$$

7 years ago
OpenStudy (anonymous):

(4x)^{(-6y)^{2}} so that could be written as (4x)^{36y^{2}}

7 years ago
OpenStudy (anonymous):

$$(4x)^{36y ^{2}}$$

7 years ago
OpenStudy (anonymous):

I agree with the 36 in TBates's answer, but I believe the negative sign on the 2 was lost.

7 years ago