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