Answer
Yes, $Q(t)=2^t$ is exponential.
Work Step by Step
Using the fact that $(a^b)^n=a^{bn}$, this function becomes $$Q(t)=(8^{1/3})^t$$ Using the fact that $8^{1/3}=\sqrt[3]{8}=2$, the function becomes exponential. $$Q(t)=2^t$$
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