express the 9power-4 with the base of 1/2 postive exponent

To express 9^-4 with the base of 1/2 with a positive exponent, you first need to understand that any number to the power of -n is equal to 1 divided by that number to the power of n.

So, 9^-4 is equal to 1/(9^4).

Now, we want to express this with the base of 1/2.

We know that 9 is equal to (1/2)^-1 (because 1 divided by 1/2 is 2, and 2 squared is 4).

So, 1/(9^4) can be written as 1/((1/2)^-1)^4.

This simplifies to 1/((1/2)^-4).

And since any number to the power of -n is equal to 1 divided by that number to the power of n, we can simplify this further to (1/2)^4.

So, 9^-4 with the base of 1/2 with a positive exponent is (1/2)^4.