What is the value of n in the equation shown below?

2^2 * 2^n = (2^4) ^3

n=10

Step-by-step explanation:

Let's remember that when exponents have the same base (here it is 2), we add the exponents. Therefore, 2^ (2+n) = (2^4) ^3

Now we will rewrite as 2^ (2+n) = 2^ (4*3) = 2^ (2+n) = 2^12

Now we have the same base of 2, so we can get rid of them and we have

2+n=12

subtract 2 from both sides: n=10