# SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

## Example Questions

### Example Question #71 : Ssat Upper Level Quantitative (Math)

Express the result in scientific notation:

Explanation:

Rewriting the numeator and applying the quotient of powers property:

This is not in scientific notation, so we adjust it as follows, applying the product of powers property:

### Example Question #72 : Ssat Upper Level Quantitative (Math)

Assume all variables to be nonzero.

Simplify:

Explanation:

Any expression raised to the first power is equal to that expression, and any expression raised to the power of 0 is equal to 1, so

### Example Question #73 : Ssat Upper Level Quantitative (Math)

Assume all variables to be nonzero.

Simplify:

Explanation:

Any nonzero expression to the power of zero is equal to 1:

### Example Question #74 : Ssat Upper Level Quantitative (Math)

Express the result in scientific notation:

Explanation:

Rewriting the numerator and applying the quotient of powers property:

Since this is not in scientific notation, adjust as follows:

### Example Question #75 : Ssat Upper Level Quantitative (Math)

What is the value of

Explanation:

To solve , 6 should be divided by 3. The exponent will be equal to the exponent of the numerator minus the exponent of the denominator. This results in:

### Example Question #76 : Ssat Upper Level Quantitative (Math)

Which of the values below is equal to ?

Explanation:

is equal to

Therefore,

Thus, 64 is the correct answer.

### Example Question #77 : Ssat Upper Level Quantitative (Math)

Which of the values below is equal to ?

Explanation:

is equal to

Given that , the above expression can be simplified to:

Therefore, 32 is the correct answer.

### Example Question #78 : Ssat Upper Level Quantitative (Math)

Which of the following is equal to 27?

Explanation:

is equal to

Given that , it follows that

### Example Question #12 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Evaluate:

Explanation:

The bases of all three terms are alike.  Since the terms are of a specific power, the rule of exponents state that the powers can be added if the terms are multiplied.

When we have a negative exponent, we we put the number and the exponent as the denominator, over

Simplify: