Answer:
Conner's work is correct
Explanation:
Operations With Exponents
We need to use the rule to find the product of two or more exponential expressions:
![x^m\cdot x^n\cdot x^p = x^(m+n+p)](https://img.qammunity.org/2021/formulas/mathematics/high-school/p3urlphszdd6shlsdrda2fe24cjkpqpxhh.png)
We need to multiply:
![(3^5 6^8)(3^9 6^(10))](https://img.qammunity.org/2021/formulas/mathematics/high-school/8gknia5kxpmfplromao9214dsyv9gwbkma.png)
Base 3 is treated independently from base 6, so we have two groups of operations:
![(3^5 6^8)(3^9 6^(10))=3^(5+9) 6^(8+10)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qtpwhdk5bm8ir52z1xdddcom0v51gwsezw.png)
Adding the exponents:
![(3^5 6^8)(3^9 6^(10))=3^(14) 6^(18)](https://img.qammunity.org/2021/formulas/mathematics/high-school/p4o753t22ep6xbeoy0dvbn2t9hul3xlxi4.png)
Thus, Conner's work is correct