determine the value of the expression 4^3 ∙ 4^-6

To determine the value of the expression 4^3 * 4^-6, first solve each part of the expression.

4^3 = 4 * 4 * 4 = 64
4^-6 = 1 / 4^6 = 1 / 4096

Now, multiply the two results together:
64 * (1 / 4096) = 64 / 4096 = 1 / 64

Therefore, the value of the expression 4^3 * 4^-6 is 1/64.