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Rules for Simplifying Exponential Expressions: A Comprehensive Guide

Master the rules for simplifying exponential expressions with our detailed guide. Learn how to handle like bases by adding exponents when multiplying and subtracting them when dividing. Discover how to multiply exponents when raising a power to a power, and understand how any integer raised to the power of -1 is its reciprocal. We also explain why any number raised to the zero power equals one. Enhance your understanding of exponents with practical examples and exercises to try on your own!

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Rules for Simplifying Exponential Expressions: A Comprehensive Guide

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  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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