Conner work is correct. Jana work is wrong
Solution:
Given that,
Conner and Jana are multiplying:
[tex](3^56^8)(3^96^{10})[/tex]
Given Conner's work is:
[tex](3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}[/tex]
We have to check if this work is correct
Yes, Conner work is correct
From given,
[tex](3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}[/tex]
Use the following law of exponent
[tex]a^m \times a^n = a^{m+n}[/tex]
Therefore,
[tex]3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}[/tex]
Given Jana's work is:
[tex](3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}[/tex]
This is incorrect
The powers of same base has to be added. But here, powers are multiplied which is wrong
