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.