Question

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

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

Answer 1

Answer: n= 10

Explanation:

Answer 2

n=10

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