Use the Product Rule of Exponents to simplify the expression 6*4 ⋅ 6*−2

Answer 1

To simplify this expression using the Product Rule of Exponents, we need to add the exponents of like bases, and keep the base the same.

Using the Product Rule of Exponents, we have:

6^4 * 6^-2

Since the base, 6, is the same, we can add the exponents:

6^(4 + -2)

Simplifying the exponent, we get:

6^2

Therefore, the simplified expression is 6^2.