Title: EXPONENTS and DIVISION
1EXPONENTS and DIVISION
2Rule 4 When dividing like bases, subtract the
exponents
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4But what happens if the bigger exponent is on the
bottom?
5The bigger x is on the bottom, so thats where it
stays!
6Simplify
The 2 divides into the 6 three times
7Rule 5 When division is happening inside the
parentheses, distribute the exponent to all
8Just like with multiplication
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10Remember, apply the exponent to everything, even
the negative
11Rule 6 Negative exponents If there is a base
with a negative exponent in the numerator, move
it to the denominator and make the exponent
positive
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13The 2 stayed up top since it did not have a
negative exponent!
14If there is a negative exponent in the
denominator, move it to the numerator and make
the exponent positive
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17The -2 stays put because it does not have a
negative exponent!
We are multiplying like bases! (Rule 1)
18The y moves down, changing the -3 to a 3, and the
z moves up, changing the -5 to a 5!
19Rule 7 Any number raised to the zero power is 1
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21Anything raised to the zero power is 1! But be
careful
Because this is 5 times x to the zero power. The
exponent belongs to the x, not the 5!
22Lets try another Simplify
We must first apply rule 1 on the top!
23Lets look at that one again
What happens if we apply rule 4?
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25When multiplying two expressions, just remember
how to multiply fractions
261st multiply across Then simplify
27Lets try another
28The trick is Trying to remember all of those
rules and apply them!
29Now, its your turn Here is your assignment!
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