Question

How do you simplify `(2^ { 4} ) ^ { 2} \times 2^ { 7}`?

Answer 1

`(2^4)^2*2^7=2^15`

Explanation:

One of our exponent rules deals with raising a power to another power. It is: `(x^a)^b=x^(ab)`.
Therefore, `(2^4)^2=2^8`.

Another exponent rule deals with multiplying a number with an exponent by the same number with a different exponent:
`x^a*x^b=x^(a+b)`.

Putting `2^8` in for `(2^4)^2`, the expression becomes
`2^8*2^7=2^15`.