Final answer:
To simplify the expressions, we add the exponents together and keep the base number the same. So, 3³*3⁶, 3³+⁶, 3⁶*³, and 3⁶*3³ all simplify to 3⁹.
Step-by-step explanation:
To simplify the expression 3³*3⁶, we need to multiply the base numbers (3) and add the exponents (3 and 6). This can be done by adding the exponents together, resulting in 3⁹. So, 3³*3⁶ simplifies to 3⁹.
Now, let's simplify the expression 3³+⁶. Again, we add the exponents (3 and 6) to get 3⁹.
Similarly, when we simplify 3⁶*³, we multiply the base numbers (3) and add the exponents (6 and 3), giving us 3⁹.
Lastly, to simplify 3⁶*3³, we multiply the base numbers (3) and add the exponents (6 and 3), which also yields 3⁹.
Learn more about Simplifying Exponents