While I have been working on the quant section, POWERS is one of the topics that is tested and on which questions can be expected. Below are a few pointers to keep in mind with regards to the Powers that I have been able to recollect and which I have read in a few quant related articles --:

1.
Keep in mind the properties of Powers
(Addition, Subtraction, Multiplication)

2. 0 is an EVEN number

3. An

**even**power is always**positive**, whether the**base**is positive or negative.
Eg :--

(-2)^2 = 4 and (2)^2 = 4

4. An

**odd**power**retains**the base's original sign.
Eg :--

(-2)^3 = -8 and (2)^3 = 8

5.

**Adding**and**subtracting**powers with the**same base**:**DON'T**: add or subtract the exponents

**Example: x**

^{3}+ x

^{5}≠ x

^{8}

**Do**: extract the highest common factor.

**Example: x**

^{3}+ x

^{5}= x

^{3}(1+x

^{2})

6. If you're not
sure that you factored the expression correctly, check that re-expanding the
brackets does return to the original expression. This is a method to cross-check and should be used if you have time and are unsure of your answer

7. Like terms (same
base and same exponent) can always be added/subtracted:

6a

^{2}+ 3a^{2}= 9a^{2}
8. Whenever one encounters an

**even root**in the GMAT, it only represents the**positive**solution. Which is why x in the quadratic equation x^2-4=0 will equal ±2, but if it is stated as only √4 then it will equal 2 alone.**By EVEN Root, the statement refers to square root or 4**^{th}root, 6^{th}root and so on.

9. In
other words, both positive and negative roots must be considered if

**we placed the square root ourselves**, as part of solving an equation, for example.
10. If
the root sign is

**already there to begin with**, it signifies only the positive root (This is a mathematical convention).
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