GMAT Math : Algebra

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #1 : Understanding Exponents

What are the last two digits, in order, of  ?

Possible Answers:

Correct answer:

Explanation:

Inspect the first few powers of 6; a pattern emerges.

As you can see, the last two digits repeat in a cycle of 5. 

789 divided by 5 yields a remainder of 4; the pattern that becomes apparent in the above list is that if the exponent divided by 5 yields a remainder of 4, then the power ends in the diigts 96.

Example Question #2 : Exponents

Which of the following expressions is equal to the expression

 ?

Possible Answers:

Correct answer:

Explanation:

Use the properties of exponents as follows:

Example Question #10 : Exponents

Simplify:

Possible Answers:

Correct answer:

Explanation:

Apply the power of a power principle twice by multiplying exponents:

Example Question #11 : Understanding Exponents

Divide:

Possible Answers:

Correct answer:

Explanation:

Example Question #12 : Understanding Exponents

Solve for :

Possible Answers:

The equation has no solution.

Correct answer:

Explanation:

Example Question #13 : Understanding Exponents

Which of the following is equal to  ?

Possible Answers:

Correct answer:

Explanation:

Example Question #14 : Understanding Exponents

Which of the following is equal to  ?

Possible Answers:

Correct answer:

Explanation:

Example Question #1121 : Problem Solving Questions

Which of the following is true about   ?

Possible Answers:

Correct answer:

Explanation:

Therefore, 

Example Question #11 : Understanding Exponents

Which of the following is equal to  ? 

Possible Answers:

Correct answer:

Explanation:

Example Question #15 : Understanding Exponents

Express the result in scientific notation:

Possible Answers:

Correct answer:

Explanation:

Since 125 is not in the range , we adjust the answer as follows:

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