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Simplifying Exponential Expressions

Simplifying Exponential Expressions. WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS. FOR EXAMPLE:. WHEN DIVIDING LIKE BASES, YOU SUBTRACT THE EXPONENTS. FOR EXAMPLE:. NOW YOU TRY:. WHEN RAISING A POWER TO A POWER, YOU MULTIPLY THE EXPONENTS. FOR EXAMPLE:.

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Simplifying Exponential Expressions

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  1. Simplifying Exponential Expressions

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

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

  4. WHEN RAISING A POWER TO A POWER, YOU MULTIPLY THE EXPONENTS FOR EXAMPLE:

  5. Raising a product to an exponent For example:

  6. Raising a quotient to an exponent For example:

  7. WHAT ABOU NEGATIVE FRACTIONS? CONSIDER THE FOLLOWING WHAT IS THIS IN EXPONENT FORM 2 4 8 16 32 64 21 22 23 24 25 26 ADDING 1 TO THE EXPONENT SUBTRACTING 1 FROM THE EXPONENT

  8. SO LETS CONTINUE THE PATTERN ONLY MOVING TO THE LEFT 1/8 ¼ ½ 1 2 4 8 16 32 64 2-3 2-2 2-1 20 21 22 23 24 25 26

  9. ANY INTEGER RAISED TO NEGATIVE ONE IS THE RECIPROCAL OF THAT INTEGER. FOR EXAMPLE:

  10. Any fraction raised to negative one is the reciprocal of that fraction. FOR EXAMPLE:

  11. 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!!!

  12. ANY NUMBER RAISED TO THE ZERO POWER IS ONE. FOR EXAMPLE:

  13. TRY THESE ON YOUR OWN:

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