Question

What values complete each statement?

Enter your answers in the boxes.

(Put the rest of the question in a photo just in case I mess something up)

Answer 1

We have the following rules that we need for this problem:

i)
`\displaystyle { a^{(1)/(2)}=√(a)`.

ii)
`( √(a) )^2=a`, for non negative values of a.

Thus,


`( √(9) )^2= \boxed {1}` in simplest form. (By rule (ii))

By the Power of the Power Rule,
`(9^{(1)/(2)})^2=9^{(2)/(2)}`.

So
`9^{(1)/(2)` must equal
`\boxed{ √(9) }` in radical form. (This is by rule (i).)