Question

If (-1, y) lies on the graph of y=2^2x then y=

Answer 1

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
`y=2^(2x)`. If you meant
`y=2^2x`, please let me know.

Thanks kindly.

Explanation:

If (-1,y) lies on the graph of
`y=2^(2x)`, then by substitution we have:

`y=2^(2\cdot -1)`.

We just need to simplify to determine y:

`y=2^(2 \cdot -1)`

Multiply the 2 and -1:

`y=2^(-2)`

Use reciprocal rule for exponents to get rid of the negative:

`y=(1)/(2^2)`

`2^2` just means
`2(2)`:

`y=(1)/(2(2))`

`y=(1)/(4)`.