Final answer:
No, the expression (x³)(x³)(x³) simplifies to x⁹, not x³*3*3. When multiplying expressions with the same base, you add the exponents; while a power to a power multiplies the exponents.
Step-by-step explanation:
The expression (x³)(x³)(x³) is not equivalent to x³*3*3. When you have a power raised to a power, you multiply the exponents. The correct simplification of (x³)(x³)(x³) is x¹¹, because you add the exponents when you multiply like bases together.
Answering the student's other query about 3²*35, this aligns with the exponent rule that xpxq = x(p+q). If we apply this to 3²*35, we would add the exponents (2 + 5) to get 3⁷.