SAT Math 4.6 Numbers and Operations
|Numbers and Operations||Properties of Integers|
|Passport to Advanced Math||Radicals and rational exponents|
|Pre-Algebra||Properties of Numbers|
|Product Type||SAT Math|
|Properties of Numbers||Integers|
|SAT Math||Numbers and Operations|
information provided in the problem.
In this case, choice A is the correct answer...
but let's first look at why the other options are incorrect.
Choice B is asking us to take the square root of a negative number, but that's impossible.
It's choice C's turn in the hot seat.
If y is negative, a negative number times a negative number will always be a positive number.
Choice D's up next.
y raised to the 2/3 power is the same thing as squaring y raised to the 1/3 power.
y raised to the 1/3 power is defined as being negative, so squaring it will make it positive.
Last up, choice E. It's important to know that taking the cubed
root of y is the same thing as raising y to the 1/3 power.
By multiplying y by y raised to the 1/3 power, we are multiplying 2 negatives, which gives
us a positive. Now back to the correct answer, choice A.
y raised to the 1/3 power is negative, and raising any negative number to an odd power
will yield another negative number. So bingo --
A it is.