Describe how to simply the express 3^-6 / 3^-4

3^-2.

Step-by-step explanation:

This is a division so the exponents are subtracted:

3^-6 / 3 ^-4

= 3^ (-6 - (-4))

= 3^-2.

The expression would be 1/9

Step-by-step explanation:

To do this in the simplest way possible, start by subtracting the exponents since they are being divided.

-6 - (-4) = - 2.

So the end result is 3^-2. This can be easily expressed by moving the term to the denominator and making it positive. Like this:

1/3^2

Then we can eliminate the exponent, leaving us with:

1/9