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

## Example Questions

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### Example Question #1 : Expressions & Equations

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 #7 : Expressions & Equations     Explanation:

Since the two expressions have the same base, we just add the exponents. ### Example Question #11 : Expressions & Equations

Evaluate:      Explanation:

A power raised to a power indicates that you multiply the two powers. ### Example Question #2 : Properties Of Exponents      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 ### Example Question #4 : Properties Of Exponents       Explanation:  Therefore, ### Example Question #61 : Algebra

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 #2 : How To Find The Properties Of An Exponent

Evaluate:  The quantity is undefined.   The quantity is undefined.

Explanation:   This is an undefined quantity.

### Example Question #12 : Expressions & Equations

Evaluate:  The quantity is undefined.    Explanation:   ### Example Question #13 : Expressions & Equations

Evaluate:   The expression is undefined.     