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Simplifying Exponential Expressions: Essential Rules and Examples

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Learn the fundamental rules for simplifying exponential expressions. When multiplying like bases, add the exponents. When raising a power to a power, multiply the exponents. Discover how any integer or fraction raised to negative one is its reciprocal, and understand the significance of zero and one powers. This guide includes practical examples for each rule, providing a clearer understanding of exponent operations. Try the exercises provided to reinforce your knowledge and mastery of these essential concepts in mathematics.

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Simplifying Exponential Expressions: Essential Rules and Examples

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Presentation Transcript

  1. RULES FOR SIMPLIFING EXPONENTIAL EXPRESSIONS

  2. WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

  3. WHEN RAISING A POWER TO A POWER, YOU MULTIPLY THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

  4. ANY INTEGER RAISED TO NEGATIVE ONE IS THE RECIPROCAL OF THAT INTEGER. FOR EXAMPLE: NOW YOU TRY:

  5. Any fraction raised to negative one is the reciprocal of that fraction. FOR EXAMPLE: NOW YOU TRY:

  6. WHEN DIVIDING LIKE BASES, YOU SUBTRACT THE EXPONENTS. FOR EXAMPLE: NOW YOU TRY:

  7. ANY NUMBER RAISED TO THE FIRST POWER IS ITSELF. FOR EXAMPLE: NOW YOU TRY:

  8. ANY NUMBER RAISED TO THE ZERO POWER IS ONE. FOR EXAMPLE: NOW YOU TRY:

  9. HOW DO WE GET ANY NUMBER RAISED TO THE ZERO POWER EQUAL TO ONE? Can be written as Working backward-you subtract the exponents when you are dividing like bases. Then any number divided by itself will give you ONE!!!

  10. TRY THESE ON YOUR OWN:

  11. TRY THESE ON YOUR OWN:

  12. TRY THIS LAST ONE ON YOUR OWN:

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