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

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

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

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

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

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

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

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!!!

TRY THESE ON YOUR OWN:

TRY THIS LAST ONE ON YOUR OWN:

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.

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.

The Rule for Rational Exponents

Write in Radical form

Write each Radical using Rational Exponents

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?

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

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.

Examples: 7.3 – Simplifying Rational Expressions

Examples: 7.3 – Simplifying Rational Expressions

One Big Final Example 7.3 – Simplifying Rational Expressions