# GMAT Math : Algebra

## Example Questions

### Example Question #16 : Understanding Exponents

Express the quotient in scientific notation:

Explanation:

Since 0.375 is not in the range , we adjust the answer as follows:

### Example Question #17 : Understanding Exponents

Give the result in scientific notation:

Explanation:

Since 64 does not fall in the range , we adjust as follows:

### Example Question #41 : Algebra

Give the sum in scientific notation:

Explanation:

Rewrite the second addend as follows:

### Example Question #1121 : Problem Solving Questions

Give the sum in scientific notation:

Explanation:

Rewrite the second addend as follows:

This is not in scientific notation; we adjust as follows:

### Example Question #1122 : Problem Solving Questions

Give the quotient in scientific notation:

Explanation:

Since 0.9375 does not fall in the range  , we adjust the answer as follows:

### Example Question #1123 : Problem Solving Questions

Give the difference in scientific notation:

Explanation:

Rewrite the second addend as follows:

### Example Question #1124 : Problem Solving Questions

Express the product in scientific notation:

Explanation:

Since 40 does not fall inside the rangle , we adjust the answer as follows:

### Example Question #1131 : Problem Solving Questions

If , what does  equal?

Explanation:

We can use the fact that  to see that

Since , we have

.

### Example Question #1132 : Problem Solving Questions

Simplify:

Explanation:

Use the properties of exponents as follows:

Solve for