Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be [tex]y=2^{2x}[/tex]. If you meant [tex]y=2^2x[/tex], please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of [tex]y=2^{2x}[/tex], then by substitution we have:
[tex]y=2^{2\cdot -1}[/tex].
We just need to simplify to determine y:
[tex]y=2^{2 \cdot -1}[/tex]
Multiply the 2 and -1:
[tex]y=2^{-2}[/tex]
Use reciprocal rule for exponents to get rid of the negative:
[tex]y=\frac{1}{2^2}[/tex]
[tex]2^2[/tex] just means [tex]2(2)[/tex]:
[tex]y=\frac{1}{2(2)}[/tex]
[tex]y=\frac{1}{4}[/tex].
