Question

Please help ASAP!! Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

Conner's Work: (3⁵6⁸)(3⁹6¹⁰) = 3⁵ + ⁹ 6⁸ + ¹⁰ = 3¹⁴6¹⁸
Jana's Work: (3⁵6⁸)(3⁹6¹⁰) = 3⁵⋅⁹ 6⁸⋅¹⁰ = 3⁴⁵6⁸⁰

Is either of them correct? Explain your reasoning. (i do think jana is incorrect but im not sure how to answer for conner)

Answer 1

Explanation:

Write it out in expanded form and you will see why Connor is correct.

3^5 means 3x3x3x3x3

6^8 means 6x6x6x6x6x6x6x6

3^9 means 3x3x3x3x3x3x3x3x3

6^10 means 6x6x6x6x6x6x6x6x6x6

These numbers are all multiplied together, so how many of each number do we have?

3x3x3x3x3x6x6x6x6x6x6x6x6x3x3x3x3x3x3x3x3x3x6x6x6x6x6x6x6x6x6x6

3^14 6^18