Question

1) a-7: a³; ??????????

Answer 1

a-7 : a³ = (a⁻⁷) / (a³)

a⁻⁷ / a³ = a⁻⁷-³ = a⁻¹⁰

So, a-7 : a³ simplifies to a⁻¹⁰.

Answer 2

It appears that you are trying to establish a relationship between the terms "a-7" and "a³." However, the notation "a-7" is not standard and it might be a typographical error or an incomplete expression. If you could provide more context or clarify the question, I would be able to assist you better.

Answer 3

It appears that you are asking for the next term in a sequence that follows a certain pattern. From the given information, it seems like you're looking at a sequence where the first term is a minus 7, and the second term is a cubed value of 'a'. If we try to continue this pattern, we can generate the next term.

Let's try to find the pattern in the sequence:

1st term: a-7 2nd term: a³

The pattern seems to be related to the powers of 'a'. We have 'a' in the first term and 'a³' in the second term. If we follow this pattern, the next term could be 'a⁵' since it follows the progression of odd powers of 'a'.

Hence, the next term could be $a^5$, making the sequence as follows:

1st term: a-7 2nd term: a³ 3rd term: $a^5$