# SSAT Upper Level Math : How to find the properties of an exponent

## Example Questions

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

Evaluate

Explanation:

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 : Properties Of Exponents

Explanation:

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

### Example Question #1 : Properties Of Exponents

Evaluate:

Explanation:

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

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

Explanation:

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

in decimal form is 0.25.

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

Explanation:

Convert .75 to a fraction. .

Now multiply

Explanation:

Therefore,

### Example Question #1 : Properties Of Exponents

Express 0.00000000000097 in scientific notation.

Explanation:

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 : Properties Of Exponents

Evaluate:

The quantity is undefined.

The quantity is undefined.

Explanation:

This is an undefined quantity.

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

Evaluate:

The quantity is undefined.

Explanation:

Evaluate: