Evaluate (5/6)^(-3): Negative Exponent Expression Solution

Insert the corresponding expression:

$\left(\frac{5}{6}\right)^{-3}=$

To solve this problem, we need to convert the expression $\left(\frac{5}{6}\right)^{-3}$ into a form with positive exponents.

The negative exponent rule states that $x^{-n} = \frac{1}{x^n}$. Applying this to our given fraction:

$\left(\frac{5}{6}\right)^{-3} = \left(\frac{6}{5}\right)^{3}$.

This means we take the reciprocal of $\frac{5}{6}$, which is $\frac{6}{5}$, and then raise it to the power of 3.

Therefore, the correct expression is $\left(\frac{6}{5}\right)^3$.

This matches choice 1 in the list of possible answers.