Use the Product Rule Exponents to simplify the expression 3^8\:\:\cdot 3^3

Answer 1

To simplify the expression using the product rule of exponents, we add the exponents together and keep the base the same.

So, we have:

\[3^8 \cdot 3^3 = 3^{8+3}.\]

Adding the exponents 8 and 3, we have:

\[3^{8+3} = 3^{11}.\]

Therefore, the expression simplifies to \boxed{3^{11}}.