To solve the equation, we first simplify the left side by using the property that (a^m)^n = a^(m*n):
(6^n)^4 = 6^(4n)
Therefore, the equation becomes:
6^(4n) = 6^-12
Now we can set the exponents equal to each other:
4n = -12
Dividing both sides by 4:
n = -3
Therefore, the value of n is -3.
An equation is shown.
(6^n)4 = 6^-12
What is the value of n?
1 answer