The Product Rule of Exponents states that when you multiply two expressions with the same base, you add their exponents. The correct expression to use the Product Rule of Exponents from the options provided is:
108⋅108 (10 superscript 8 baseline times 10 superscript 8 baseline)
This is because you can apply the Product Rule of Exponents to combine these two terms since they share the same base (10).
The others do not utilize the Product Rule effectively:
- \( 327 \) does not involve exponentiation with a common base.
- \( 62⋅73 \) involves different bases (6 and 7), so you cannot apply the Product Rule.
- \( (52)9 \) does not clearly represent a multiplication of two expressions with the same base for the Product Rule to be applied effectively.
Thus, the correct choice is 108⋅108.