### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #1 : How To Find The Properties Of An Exponent

Evaluate

**Possible Answers:**

**Correct answer:**

If you divide two exponential expressions with the same base, you can simply subtract the exponents. Here, both the top and the bottom have a base of 2 raised to a power.

So

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

**Possible Answers:**

**Correct answer:**

Since the two expressions have the same base, we just add the exponents.

### Example Question #11 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Evaluate:

**Possible Answers:**

**Correct answer:**

A power raised to a power indicates that you multiply the two powers.

### Example Question #1 : How To Find The Properties Of An Exponent

**Possible Answers:**

**Correct answer:**

We can either write , or we can convert this to a fraction and write

in decimal form is 0.25.

### Example Question #1 : Properties Of Exponents

**Possible Answers:**

**Correct answer:**

Convert .75 to a fraction. .

Now multiply

### Example Question #4 : How To Find The Properties Of An Exponent

**Possible Answers:**

**Correct answer:**

Therefore,

### Example Question #1 : How To Find The Properties Of An Exponent

Express 0.00000000000097 in scientific notation.

**Possible Answers:**

**Correct answer:**

To rewrite a very small number in scientific notation:

Write the number.

Move the decimal point right as many places as needed until it *follows* the first nonzero digit, which here is the nine. Count the number of places it is moved - here it will be thirteen places.

The number formed is , which will be placed in front; , the *negative* of the number of places counted, will be the exponent. The number, in scientific notation, will be .

### Example Question #1 : How To Find The Properties Of An Exponent

Evaluate:

**Possible Answers:**

The quantity is undefined.

**Correct answer:**

The quantity is undefined.

This is an undefined quantity.

### Example Question #2 : How To Find The Properties Of An Exponent

Evaluate:

**Possible Answers:**

The quantity is undefined.

**Correct answer:**

### Example Question #12 : Expressions & Equations

Evaluate:

**Possible Answers:**

The expression is undefined.

**Correct answer:**

as 0 taken to any positive power is equal to 0.