Use the product rule of exponents to simplify the expression 3 to the power of 8 multiplied by 3 to the power of 3

The product rule of exponents states that when multiplying two numbers with the same base, you add their exponents.

Therefore, to simplify 3 to the power of 8 multiplied by 3 to the power of 3, we can add the exponents.

3^8 * 3^3 = 3^(8+3) = 3^11

So the expression simplifies to 3 to the power of 11.

To simplify the expression 3 to the power of 8 multiplied by 3 to the power of 3 using the product rule of exponents, we add the exponents together.

So, 3 to the power of 8 multiplied by 3 to the power of 3 is equal to 3^(8+3).

Simplifying further, 8 + 3 equals 11.

Therefore, 3 to the power of 8 multiplied by 3 to the power of 3 is equal to 3^11.