If (-3, y) lies on the graph of y = 3^x, then what is y?

Solution:

Given y = 3^x and (-3, y) lies on the graph

We know that if a point lies on a graph, it must satisfy the equation

Hence, substitute x = -3 and y = y in given equation

y = 3^-3

y = 1/3³ [principle of exponents : a^-m = 1/a^m]

y = 1/27

Therefore, the value of y is 1/27

If (-3, y) lies on the graph of y = 3^x, then what is y?

Summary:

If (-3, y) lies on the graph of y = 3^x, then y is 1/27.