一个ll GMAT Math Resources
Example Questions
Example Question #3 :Powers & Roots Of Numbers
Solve:
First, FOIL:
Factor out
Example Question #1 :Powers & Roots Of Numbers
Solve:
First factor.
Simplify.
Example Question #5 :Powers & Roots Of Numbers
If, what is
Example Question #6 :Powers & Roots Of Numbers
Evaluate:
Example Question #7 :Powers & Roots Of Numbers
Simplify this expression as much as possible:
The expression cannot be simplified further
Example Question #8 :Powers & Roots Of Numbers
If the side length of a cube is tripled, how does the volume of the cube change?
Volume becomes 27 times larger.
Not enough informatin is given.
Volume becomes 9 times larger.
Volume becomes 3 times larger.
The volume doesn't change.
Volume becomes 27 times larger.
The equation for the volume of a cube is. If the length is tripled, it becomes, and, so the volume increases by 27 times the original size.
Example Question #9 :Powers & Roots Of Numbers
Simplify
This can either be done by brute force (slow) or by recognizing the properties of roots and exponents (fast). Roots are simply fractional exponents:,, etc. so they can be done in any order.
So we see a cube root, we can immediately cancel that with the exponent of 3. taking us from here:to. We now simplifyto get
Example Question #10 :Powers & Roots Of Numbers
In the sequence 1, 3, 9, 27, 81, … , each term after the first is three times the previous term. What is the sum of the 9th and 10th terms in the sequence?
We can rewrite the sequence as,,,,, … ,
and we can see that the 9th term in the sequence isand the 10th term in the sequence is. Therefore, the sum of the 9th and 10th terms would be
Example Question #11 :Powers & Roots Of Numbers
What is?
Example Question #12 :Powers & Roots Of Numbers
What is?