Use the Product Rule of Exponents to simplify the expression 38 ⋅33.

1 answer

To simplify the expression 38 ⋅33 using the Product Rule of Exponents, we add the exponents since the bases are the same.

38 ⋅33 = (3^8) ⋅ (3^3)

According to the Product Rule of Exponents, when multiplying two powers with the same base, we add the exponents.

Therefore, (3^8) ⋅ (3^3) = 3^(8+3) = 3^11

So, 38 ⋅33 simplifies to 3^11.