Question

If (-2, y) lies on the graph of y =4^x, then y =

Answer 1

Simply plug in x= -2 in to y = 4^x, and solve for y.

$y=4^{-2}\\\\y = \frac{1}{4^2}\\\\\boxed{\bf{y=\frac{1}{16}}}$

So, the point (-2, ¹/₁₆) lies on the graph of y = 4^x.

Your final answer is y = ¹/₁₆.