what is 4 to the negative 2 times 2 to the 0.

my options are 8

16

1/16

-64

I think it is 16.

4^-2 = 1/4^2 = 1/16

2^0 = 1

So, 1/16 * 1 = 1/16

thank you

To solve this problem, we need to use the exponent rules.

Let's start with 4 to the power of -2. Any number raised to a negative exponent is equivalent to 1 divided by that number raised to the positive exponent. So, 4 to the power of -2 is equal to 1 divided by 4 squared (4^2), which is 1/16.

Now, let's move on to 2 to the power of 0. Any number raised to the power of 0 is always equal to 1. Therefore, 2 to the power of 0 is equal to 1.

Now, we can calculate the entire expression: 4 to the power of -2 times 2 to the power of 0.

Substituting the values we found, we get (1/16) * 1 = 1/16.

So, the correct answer is 1/16, not 16.