McGraw-Hill Education GRE 2019

The previous example illustrates the following general principle: An even exponent will hide the sign of the base. In other word ...

Dividing Exponents with the Same Base: Subtract the Exponents ■ When dividing exponential terms with the same base, keep the bas ...

Putting It All Together: Finding a Common Base Knowing the preceding rules is essential for success on exponent questions, but t ...

Use your exponent rules for division and you get 2(18− 6) × 3^0. And this comes out to 2^12. The correct answer is C. Table 1 li ...

No exponent rule will work here. Instead, you must recognize the following property: If two values are equal, then they must hav ...

Note that when determining the square root of a number, the answer will always be positive. Even though (−4)^2 = 16, −4 is not a ...

Quantitative Comparison Strategy: Exponents When solving Quantitative Comparison questions that test exponents, it is essential ...

Exercise: Exponents and Roots Discrete Quantitative Questions 42165 = 2x. What is x? A 7 B 9 C 10 D 20 E 24 For this question, ...

3303 + 3 2929 equals A 3 B 4 C 6 D 15 E 30 If^102 x 1003 y < 1, which of the following must be true? A x < 3y B 2 x < ...

Quantitative Comparison Questions Each of the following questions consists of two quantities, Quantity A and Quantity B. You are ...

xa = 1 a > 0 QUANTITY A QUANTITY B x 1 A B C D b √c = a QUANTITY A QUANTITY B ba^22 c A B C D Exercise Answers Discrete Q ...

Thus (2^6 )(3^2 ) = 2(x+2) × 3(y+3) 6 = x + 2 2 = y + 3 ↓ 4 = x −1 = y ↓ x + y = 3 E If the base of an exponential term is betw ...

C When a question adds or subtracts exponential terms, a good rule of thumb is to factor out what the terms have in common. 3^7 ...

D If xa = 1, it is possible that a = 0 and that x equals any number (since any number raised to the power of zero = 1). However ...

Step 1: Manipulate the equation to match the preceding template. In this example, you would need to set the equation equal to ze ...

So stick to the following rule: Set quadratic equations equal to zero. Let’s redo the preceding example: 4 x^2 = x Step 1: Subtr ...

When you have the opportunity to factor or use FOIL on the GRE, it’s usually a good idea to do so! Common Quadratics Three quadr ...

Exercise: Quadratic Equations Discrete Quantitative Questions If 2x^2 + 20x = −48, then x could equal which of the following va ...

If 2x + 2y = 2 x − 2^1 y , then x^2 − y^2 = A (^18) B (^14) C (^12) D 1 E 2 For this question, write your answer in the box. ...

Quantitative Comparison Questions Each of the following questions consists of two quantities, Quantity A and Quantity B. You are ...