You are given the expression $N(72) = 2^{\frac{72}{3.5}}$. Let's simplify it step by step:

1. First, compute the fraction $\frac{72}{3.5}$: $\frac{72}{3.5} = \frac{72 \times 10}{3.5 \times 10} = \frac{720}{35} = 20.5714$

2. Now substitute this back into the original expression: $N(72) = 2^{20.5714}$

3. To approximate the value of $2^{20.5714}$, use a calculator: $2^{20.5714} \approx 1521384.94$

Thus, $N(72) \approx 1,521,384.94$.

Would you like further clarification or details on any of the steps?

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Here are 5 related questions to deepen your understanding:

1. How can you simplify other exponential expressions like $2^{\frac{n}{m}}$?
2. What happens to the value of an expression as the exponent increases for powers of 2?
3. How do you calculate fractional exponents without a calculator?
4. What is the general rule for multiplying exponents with the same base?
5. How can you apply logarithms to solve for exponents?

Tip: When dealing with fractional exponents, remember that you can break them down into roots and powers (e.g., $a^{m/n} = \sqrt[n]{a^m}$).