Associated Topics || Dr. Math Home || Search Dr. Math

### Exponent Divided by Another Exponent

```
Date: 9/8/96 at 20:55:25
From: MISS JULIE A MALMSTROM
Subject: Exponent Divided by Another Exponent

I don't know how to solve

7
8
--------
3
8

This is how I write (8^7)/(8^3) .
```

```
Date: 9/9/96 at 11:54:17
From: Doctor Robert
Subject: Re: Exponent Divided by Another Exponent

When you are dividing numbers that are expressed as powers, and the
bases of the powers are the same, then you subtract exponents.

For example:

5
2             2 x 2 x 2 x 2 x 2                   2
--------    =  --------------------   =  2 x 2  =   2
3                2 x 2 x 2
2

This is the brute force method.  The better way is to say

5
2              (5 - 3)       2
--------    =    2         =   2
3
2

7
8              (7-3)         4
--------    =    8         =   8
3
8

-Doctor Robert,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Exponents

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search