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6.4 PROPERTIES OF EXPONENTIAL DIVISION

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OBJECTIVE

  • Review over exponents
  • Review over multiplication of exponents
  • Go over properties of division
  • Establish properties of division
  • A few notes
  • Go over negative exponents
  • Now try some on your own!

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Review

What is an exponential expression?

An exponential expression is a representation of a number being multiplied, multiple times. It has two components, a base and the exponent.

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What is the base of an exponent?

The number that is being multiplied multiple times.

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What is the exponent part?

The number of times the number is being multiplied by itself.

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How do we multiply 2 numbers with exponents, that share the same base?

We add the exponents.

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SO, HOW DO WE MULTIPLY EXPONENTS?

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BUT WHAT ABOUT WHEN WE DON’T HAVE THE SAME BASE?

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SO WHAT ABOUT DIVISION?

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And this is the property of dividing exponents:

When dividing two numbers of the same base, simply subtract the exponents together to get the answer.

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THE PROPERTY OF DIVIDING EXPONENTS

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A FEW THINGS TO NOTE:

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Negative Exponents

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So, why is a negative exponent a fraction?

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Those freaking negatives!!!!

But this makes sense right? Since we know that there really is no such thing as subtraction, just the addition of negative numbers.

In the same way, there’s really no such thing as division, just the multiplication of numbers with negative exponents.

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Now try some on your own:

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