Question

Help

Answer 1

-3/2

Answer 2

\[(\frac{ 1 }{ 36 })^{n} = 216\] right?

Answer 3

could probably take the log of both sides.

\[n*\log(\frac{ 1 }{ 36 }) = \log(216) \]

\[\frac{ \log(216) }{ \log(\frac{ 1 }{ 36 }) } = n \]

n = \[-\frac{ 3 }{ 2 }\]

we can actually check this

\[(\frac{ 1 }{ 36 })^{-\frac{ 3 }{ 2 }} = ?\]