Question
A student simplified this expression: (3^3 time 3^-2)/ using these steps:
Step 1: (3^-6)/(3^12)
Step 2: (1)/(3^6 times 3^12)
Step 3: (1)/(3^18)
Which of these steps contains a mistake from the previous step?
Step 1: (3^-6)/(3^12)
Step 2: (1)/(3^6 times 3^12)
Step 3: (1)/(3^18)
Which of these steps contains a mistake from the previous step?
Answers
GPT 3.5
The mistake is in Step 2.
In Step 2, the student should multiply the exponents instead of dividing them. The correct step should be: (1)/(3^(-6 + 12)) = (1)/(3^6)
In Step 2, the student should multiply the exponents instead of dividing them. The correct step should be: (1)/(3^(-6 + 12)) = (1)/(3^6)