Define two terms, each containing the variables a and b.

Question

Define two terms, each containing the variables a and b, with exponents on each. (For example: 10a³b^-5) Find the quotient of the two terms. Explain step-by-step how you found the quotient.

Answer 1

Ok so the question allows you to make up the two terms. How about these:

1) 4a³b⁷

2) 9a⁵b³

How to find the quotient step by step:

1) Multiply the coefficients. 4 x 9 = 36. So, 36 is the coefficient of the answer.

2) Add the exponents of same variables to determine exponents of the variables in the answer:

2a) We have a³ being multiplied by a⁵. Add exponents. The answer is a⁸.

2b) We have b⁷ being multiplied by b³. Add exponents. The answer is b¹⁰.

3) Combine previous steps for final answer. 36a⁸b¹⁰.

Hope that helps!