Final answer:
To expand a² x a⁴, apply the rule of multiplying exponentiated quantities with the same base by adding the exponents, resulting in a⁶.
Step-by-step explanation:
When we write out a² x a⁴ in expanded word form, we are using the rule of multiplying exponentiated quantities. In this case, you multiply the exponents when you have the same base being multiplied.
This is similar to writing out a set multiplied together multiple times. For example, (a x a) × (a x a x a x a), which is just six 'a's multiplied, or a⁶. Therefore, a² x a⁴ in expanded form is a⁶, which means 'a' to the sixth power, or 'a' multiplied by itself six times.