Question

3^-2 / 3^p=3^4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we apply the rule for dividing powers with the same base:

3^-2 / 3^p = 3^-2-(-p) = 3^-2+p

Given that this is equal to 3^4, we set the exponents equal to each other:

-2 + p = 4

Solving for p:

p = 4 + 2
p = 6

Therefore, the value of p is 6.

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my previous response. Let's correct the mistake and solve the expression again:

Given expression: 3^-2 / 3^p = 3^4

We can simplify this by subtracting the exponents when dividing powers with the same base:

3^-2 / 3^p = 3^(-2 - p)

We know that the expression is equal to 3^4:

3^(-2 - p) = 3^4

Now, we can equate the exponents:

-2 - p = 4

Solving for p:

p = -2 - 4
p = -6

Therefore, the correct value of p is -6. Thank you for pointing out the mistake.