Question

Write each of the following numbers as a power of the number 2

Answer 1

The power on 2 is either -3.5 in decimal form or (-7/2) in fraction form.

Step-by-step explanation

To do this, we have to first note that

`\begin{gathered} \sqrt[]{2}=2^{(1)/(2)} \\ \text{And} \\ 16=2^4 \end{gathered}`

So, we can then simplify the given expression

`\begin{gathered} \frac{\sqrt[]{2}}{16}=\frac{2^{(1)/(2)}}{2^4}=2^{(1)/(2)-4} \\ =2^(0.5-4) \\ =2^(-3.5) \\ OR \\ =2^{(-7)/(2)} \end{gathered}`

Hope this Helps!!!