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MORE EXPONENTIAL PROPERTIES

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OBJECTIVE

  • Review
  • Review over how to multiply exponents
  • Review over how to divide exponents
  • Re-establish rules for negative exponents
  • Taking exponents to another exponent (expoception)
  • Now it’s your turn!

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

We subtract the exponents.

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SO, HOW DO WE MULTIPLY EXPONENTS?

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SO HOW DO WE DIVIDE EXPONENTS?

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NEGATIVE EXPONENTS

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WHY THEN IF WE HAVE A FRACTION WITH THE DENOMINATOR A NEGATIVE EXPONENT, DOES IT FLIP?

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THIS IS WHY THE PROPERTY STILL STANDS

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And make the exponent positive:

 

 

 

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SO A FEW EXAMPLES:

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WHAT ABOUT TAKING AN EXPONENT, TO AN EXPONENT?

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ANOTHER EXAMPLE

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LAST EXAMPLE

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And that’s how you deal with exponents inside exponents

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Now it’s your turn!

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