Is this exponential growth or decay? Explain using your understanding of the properties of exponents. (To type exponents, use the ^ key.)

Answer:

This is exponential decay. The property of negative exponents states that a^(-n) = 1/a^n, so 2^(-t/8) can be rewritten as (1/2)^(t/8) or 0.5^(t/8). Because the base (0.5) is between 0 and 1, the function represents decay.