Question

Find the value of n in the (1)^n/(-6) =1/1296 pls fast​

Answer 1

Correct Question

Find the value of $n$ in the equation $(-\dfrac{1}{6} )^{n}=\dfrac{1}{1296}$.

Solution

Taking $\dfrac{1}{1296}$ as $(\dfrac{1}{6} )^{4}$

$\implies (-\dfrac{1}{6} )^{n}=(\dfrac{1}{6} )^{4}$

$\implies (-\dfrac{1}{6} )^{n}=(-\dfrac{1}{6} )^{4}$

$\implies n=4$