Question

Please help me under stand this question.

Answer 1

Answer: $2^{30}$

Step-by-step explanation:

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

1. The Negative exponent rule, which states that:

$a^{-n}=\frac{1}{a^n}$

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:

$\frac{2^{14}}{2^{-16}}$

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

$(2^{14})(2^{16})=2^{(14+16)}=2^{30}$