SAT Math : SAT Mathematics

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : Exponential Operations

Which of the following is equal to the expression Equationgre, where  

xyz ≠ 0?

Possible Answers:

z

z/(xy)

1/y

xy

xyz

Correct answer:

1/y

Explanation:

(xy)4 can be rewritten as x4y4 and z0 = 1 because a number to the zero power equals 1.  After simplifying, you get 1/y. 

Example Question #2 : Exponential Operations

If , then

 

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

Start by simplifying the numerator and denominator separately. In the numerator, (c3)2 is equal to c6. In the denominator, c2 * c4 equals c6 as well. Dividing the numerator by the denominator, c6/c6, gives an answer of 1, because the numerator and the denominator are the equivalent.

 

Example Question #3 : Exponential Operations

If , which of the following is equal to ?

Possible Answers:

a

a4

a18

a6

The answer cannot be determined from the above information

Correct answer:

a18

Explanation:

The numerator is simplified to  (by adding the exponents), then cube the result. a24/a6 can then be simplified to .

Example Question #2311 : Sat Mathematics

Possible Answers:

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. The answer is 

Example Question #2312 : Sat Mathematics

Possible Answers:

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. The answer is 

Example Question #2313 : Sat Mathematics

Possible Answers:

None of the possible answers

Correct answer:

None of the possible answers

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we don't. We can't really simplify it and we can't subtract with different bases so the answer is none of the possible answers. 

Example Question #14 : How To Divide Exponents

Possible Answers:

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. The answer is  is just  or 

Example Question #2314 : Sat Mathematics

Possible Answers:

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. Since we arre subtracting wit a negative alue, this becomes an addition problem. The answer is 

Example Question #133 : Exponential Operations

Possible Answers:

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Since we are subtracting with a negative value, then it becomes addition. So far, we have . Since  is greater than  and is positive, the answer must be positive. We just treat this as a subtraction problem.  The answer is 

Example Question #2315 : Sat Mathematics

Possible Answers:

Correct answer:

Explanation:

When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. Since we are subtracting a positive value, the sign becomes negative. We treat the expression as addition but the answer is negative. The answer is 

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