Question #N937
For all positive values of $x$, the expression $(\frac{x^2}{x^3 - 1})^{-1}$ is equivalent to which of the following expressions?
A. $\frac{x^3 - 1}{x^2}$
B. $\frac{x^2}{x^3 - 1}$
C. $x^3 - 1$
D. $x^2$
Correct Answer is: A
Recall that a term raised to a negative exponent is equivalent to its reciprocal with a positive exponent. Thus, $(\frac{x^2}{x^3 - 1})^{-1} = (\frac{x^3 - 1}{x^2})^1 = \frac{x^3 - 1}{x^2}$.