a student simplified this expression: 3^3 ∙ 3^-2/(3^6)^2 using these steps:
step 1: 3^-6/3^12
stop 2: 1/3^6 ∙ 3^12
step 3: 1/13^18
which one of these steps contain a mistake form the previous step.
A. there is no mistakes, the answer is correct
B. step 1
C. step 2
D. step 3
The mistake is in step 2.
In step 2, the student incorrectly multiplied 1/3^6 by 3^12. The correct step would be to divide 1 by 3^6. Therefore, the correct expression in step 2 should be 1/3^6 ÷ 3^12, not 1/3^6 ∙ 3^12.
So the answer is C. step 2.