# GMAT Math : Algebra

## Example Questions

### Example Question #1 : Understanding Exponents

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

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

?

Explanation:

Use the properties of exponents as follows:

### Example Question #10 : Exponents

Simplify:

Explanation:

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

Divide:

Explanation:

### Example Question #12 : Understanding Exponents

Solve for :

The equation has no solution.

Explanation:

### Example Question #13 : Understanding Exponents

Which of the following is equal to  ?

Explanation:

### Example Question #14 : Understanding Exponents

Which of the following is equal to  ?

Explanation:

### Example Question #1121 : Problem Solving Questions

Which of the following is true about   ?

Explanation:

Therefore,

### Example Question #11 : Understanding Exponents

Which of the following is equal to  ?

Explanation:

### Example Question #15 : Understanding Exponents

Express the result in scientific notation: