I am posting this for "Kevin."

Sorry I dont know how to do X squared on the keyboard so I just used smaller fonts.

Excercise 5.10
1. Write down the index of a in each of the following terms:

a) 6a2 b) 4a3 c) a3

d) 5a4b3 e) a2b3c4

Please help with the above answers.

The index of a term is the sum of the exponents of the different variables in the term.
a) 6a^2: There is only one variable and the exponent is 2, thus the index is 2.

b) 4a^3: Similar. The index is 3.

c) What is this? (a^3)^2? If so:
(a^3)^2 = a^(2*3) = a^6, so the index is 6.

d) 5a^4b^3
There are two variables here, one with exponent 4 and one with exponent 3. So the index is 3 + 4 = 7.

e) a^2b^3c^4 The index is 2 + 3 + 4 = 9.