Hi All,
We're asked for the value of w^(-2). This is a great example of a 'concept question' - meaning that you don't actually have to do any math to get the answer as long as you understand the concept(s) involved.
The concepts tested here are all about exponents of numbers. The two FACTS both deal with ODD exponents. When an exponent is an ODD number, there is just one solution and the 'sign' will match whatever the 'sign' of the number is. For example:
A^1 = 2 has just one solution: +2
X^3 = -27 has just one solution: -3
Y^(-1) = 1/4 has just one solution: +4
Z^(-3) = 1/125 has just one solution: +5
Etc.
1) W^-1 = 1/2
The equation in Fact 1 has an ODD exponent, so there is just one solution. Since W has just one value, there would be just one value of W^(-2).
Fact 1 is SUFFICIENT.
2) W^3 = 8
The equation in Fact 2 has an ODD exponent, so there is just one solution. Since W has just one value, there would be just one value of W^(-2).
Fact 2 is SUFFICIENT.
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
