Answer: [tex]2^{30}[/tex]
Step-by-step explanation:
In order to solve this exercise it is important to remember:
1. The Negative exponent rule, which states that:
[tex]a^{-n}=\frac{1}{a^n}[/tex]
2. The Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Therefore, knowing the explained above and having the following expression provided in the exercise:
[tex]\frac{2^{14}}{2^{-16}}[/tex]
You can identify that the numerator and the denominator have the same base 2. Then, you can simplify the expresssion as following:
[tex](2^{14})(2^{16})=2^{(14+16)}=2^{30}[/tex]
