Let's simplify the given expression: $(x^9)^0 (x^7)^2$.

Step 1: Simplify $(x^9)^0$

Any term raised to the power of 0 is equal to 1 (as long as the base is not 0). Therefore: $(x^9)^0 = 1$

Step 2: Simplify $(x^7)^2$

When raising a power to another power, multiply the exponents: $(x^7)^2 = x^{7 \times 2} = x^{14}$

Step 3: Multiply the simplified expressions

Now, multiply the simplified terms: $1 \cdot x^{14} = x^{14}$

Thus, the simplified expression is: $x^{14}$

Would you like any further details or clarification on this solution?

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Here are 5 follow-up questions:

1. How do you handle negative exponents in a similar expression?
2. What would happen if the exponent in $(x^9)^0$ was not zero?
3. How do you simplify expressions involving multiple variables?
4. What is the general rule for multiplying exponents with the same base?
5. How would you approach a more complex expression with additional terms?

Tip: Remember, any non-zero base raised to the power of 0 is always 1.