Question

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

Answer 1

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 $y=2^{2x}$.  If you meant $y=2^2x$, please let me know.

Thanks kindly.

Step-by-step 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:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$:

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$.