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

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

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

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

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

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

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

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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!!!

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TRY THESE ON YOUR OWN:

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TRY THIS LAST ONE ON YOUR OWN:

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Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical or the radical sign index radical sign radicand The expression under the radical sign is the radicand. The index defines the root to be taken.

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How would we simplify this expression? What does the fraction exponent do to the number? The number can be written as a Radical expression, with an index of the denominator.

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The Rule for Rational Exponents

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Write in Radical form

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Write each Radical using Rational Exponents

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For any nonzero real number b, and integer m and n Make sure the Radical express is real, no b<0 when n is even. What if the numerator is not 1?

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Write each expression in radical form. 1.5x 5/4 2.(3ab) 1/3 3.a 2/3 b 1/3

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Exit Slip - you must work on this by your self. You can you use your notes. Put your name on the small piece of paper I hand out.

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Examples: 7.3 – Simplifying Rational Expressions

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Examples: 7.3 – Simplifying Rational Expressions

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One Big Final Example 7.3 – Simplifying Rational Expressions

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