Use the Product Rule Exponents to simplify the expression 3^9 * 3^-5

1 answer

To simplify the expression 3^9 * 3^-5 using the product rule of exponents, we add the exponents when multiplying two powers with the same base.

3^9 * 3^-5 = 3^(9 + (-5))
= 3^4

Therefore, 3^9 * 3^-5 simplifies to 3^4.