Question

Conner and Jana are multiplying (3^5 6^8)(3^9 6^10)

Conners work
(3^5 6^8)(3^9 6^10) =3^5+9 6^8+10 = 3^14 6^18

Janas work

(3^5 6^8)(3^9 6^10) =3^5•9 6^8•10 = 3^34 6^80

Is either of them correct? Explain your reasoning

Answer 1

None of them are correct. They only thought of combining like terms, which isn't the case.

Explanation:

(3^5 6^8)(3^9 6^10) =

(3^5+9) + (3^5 6^10) + (6^8 3^9) + (6^8+10) =

3^14 + (3^5 6^10) + (6^8 3^9) + 6^18