Question

Please help me under stand this question.

Answer 1

Answer:
`2^(30)`

Explanation:

In order to solve this exercise it is important to remember:

1. The Negative exponent rule, which states that:

`a^(-n)=(1)/(a^n)`

2. The Product of powers property, which states that:

`(a^m)(a^n)=a^((m+n))`

Therefore, knowing the explained above and having the following expression provided in the exercise:

`(2^(14))/(2^(-16))`

You can identify that the numerator and the denominator have the same base 2. Then, you can simplify the expresssion as following:

`(2^(14))(2^(16))=2^((14+16))=2^(30)`