Question

Help me with this questiom please

Answer 1

To raise to a negative power is like this:

4^-3 = 1/4^3. First, you raise the number to the positive counterpart to the negative number, then divide 1 by your answer.

To fill in the table:

x | -2 -1 0 1 2 3

y | 1/16 1/4 1 4 16 64

Answer 2

`\boxed{\begin{tabular}c x & y \\\cline{1-2} -2 & 1/16 \\ -1 & 1/4 \\ 0 & 1 \\ 1 & 4 \\ 2 & 16 \\ 3 & 64\end{tabular}}}`

In-depth explanation:

Hi! This question is asking us to complete the table, given the function:

`\huge\boxed{\sf{y=4^x}}`

Plug in -2 for x:

`\sf{y=4^(-2)}`

`\sf{y=(1)/(4^2)}`

`\sf{y=(1)/(16)}`

Next, plug in 1 for x:

`\sf{y=4^1}`

`\sf{y=4}`

Finally, plug in 3 for x:

`\sf{y=4^3}`

`\sf{y=64}`