Step-by-step explanation:
Something to remember is that, if a negative number has a large number in it (9, 10 etc.) instead of a smaller number (2, 3, etc.) then the greater number is actually smaller, because it is farther down on a number line.
1.) First, take -√9, and take away the - sign for a moment. Pretend it isn't negative.
2.) Next, find the square root of 9. What times what equals 9? 3x3=9, so √9=3.
3.) Now, place the negative sign back. So, this is -3.
4.) Now, take -2³. When there is a small number next to a normal number, that means that you need to multiply the large number by the small one. So, in this case, do 2x3.
5.) 2x3=6.
6.) Now, add the negative sign back to it. so, -6.
7.) Remember that if a negative number has a larger number, then it is actually smaller, as it is farther down on the number line.
8.) So, we have -3 and -6. Of course, -3 is larger. therefore, -2³ is less than -√9, and the answer is A.
