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Dividing with Exponents

Are you ready to divide with exponents? It it is so totally easy-peasy, lemon-squeasy, IF you can multiply them.

Division Example #1
85 ÷ 83

If the bases are the same (in this instance, the bases ARE the same), then dividing the exponents is VERY easy!

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Step 1: Re-write the expression as a fraction. This will help to keep you from making errors.

Check for common (similar) bases.

Step 2: Write the exponents of the bases down as a subtraction equation.

Be careful with the signs!

IF the bases are the same, then simply subtract the exponents.
5 – 3 = 2
82

Step 3: Keep the same base.Voila!
Division Example #2
64c4d3 ÷ 8c3d2e7
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Step 1: Re-write the terms vertically. This will help to keep things in perspective.

Step 2: Separate everything out, sorting into numbers and variables (the Commutative Property of Multiplication—mooooooving the numbers/variables around).

Now, group the numbers and those exponents (same bases) together. This is using the Associative Property (the 'grouping property')

By breaking the problem down into smaller 'bits,' it makes something that looks scary much less frightening!
c
c
7
64
c
c
7
64

Step 3: Do the math.

Start with one section at a time, writing out each step.
4
3
= 8
8de7

Step 4: Re-write with the variables.

Special Note: Remember that numbers always come FIRST followed by variables in descending order (alphabetical).
Dividing Exponents Rule
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©2011–2017 Sherry Skipper Spurgeon. All rights reserved.