simplify the expression showing showing all of your work
4 Squared 256x^4y^12z^8
To simplify the expression "4 Squared 256x^4y^12z^8", we can simplify each term separately and then multiply them all together.
First, let's simplify 4 squared:
4 squared = 4 * 4 = 16
Next, let's simplify 256:
256 = 16 * 16 = 2^8
Now, let's simplify x^4:
Another way to write x^4 is (x^2)^2.
So, x^4 = (x^2)^2 = x^2 * x^2
Next, let's simplify y^12:
Another way to write y^12 is (y^6)^2.
So, y^12 = (y^6)^2 = y^6 * y^6
Lastly, let's simplify z^8:
Another way to write z^8 is (z^4)^2.
So, z^8 = (z^4)^2 = z^4 * z^4
Putting it all together, the simplified expression is:
16 * 2^8 * (x^2 * x^2) * (y^6 * y^6) * (z^4 * z^4)
= 16 * 256 * x^4 * y^12 * z^8
= 4096x^4y^12z^8