1. **State the problem:** The number of bacteria cells doubles every 10 minutes, starting with 1 cell. We want to find the number of cells after 1 hour. 2. **Identify the formula:** Since the bacteria double every 10 minutes, the number of cells after $t$ minutes is given by the exponential growth formula: $$N = N_0 \times 2^{\frac{t}{10}}$$ where $N_0$ is the initial number of cells, and $t$ is the time in minutes. 3. **Apply the values:** Here, $N_0 = 1$ and $t = 60$ minutes (1 hour). 4. **Calculate the exponent:** $$\frac{t}{10} = \frac{60}{10} = 6$$ 5. **Write the final answer:** $$N = 1 \times 2^6 = 2^6$$ So, the number of bacteria cells after one hour is $2^6$ in exponential form.