3^-2 divided by 3^-6

Answer 1

To divide two numbers with the same base raised to different exponents, you can subtract the exponents.

So, 3^-2 divided by 3^-6 can be written as 3^(-2-(-6)), which simplifies to 3^(-2+6), and further simplifies to 3^4.

Therefore, 3^-2 divided by 3^-6 is equal to 3^4.