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HW Properties of Exponents

Posljednje ažuriranje about 3 years ago

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The next topic we are learning involves exponents! Let's see how much you remember...

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Negative exponents tell you to flip the base. You can never have a negative exponent in your answer. If you do, flip it to the denominator to make it positive!

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Type in all answers as whole numbers or fractions. No decimals!

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Here's an example similar to #12:

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Here's an example similar to #41:

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Example similar to #46:

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Below are all the exponent rules you re-learned today.

Copy these down in your notes!

Pitanje 1

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15

Pitanje 2

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They are being divided by 2

They are being added by 2

They are being subtracted by 2

Pitanje 3

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Pitanje 4

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Pitanje 5

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Pitanje 6

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65^0 =

Pitanje 7

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Pitanje 8

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Pitanje 9

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What do you think 5^-1 equals?
5^4 = 625
5^3 = 125
5^2 = 25
5^1 = 5
5^0 = 1
5^-1 =

Pitanje 10

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2^0=

Pitanje 11

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12^-1=

Pitanje 12

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3^-2=
_{Simplify completely. Your answer should not have exponents.}

Pitanje 13

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4^-2=
_{Simplify completely. Your answer should not have exponents.}

Pitanje 14

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(-7)^0=

Pitanje 15

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0^6=

Pitanje 16

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_{*Hint: flip the fraction to make the exponent positive. Then evaluate.}

Pitanje 17

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Pitanje 18

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Pitanje 19

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_Hint:
_{Fraction answers only, no decimals!}

Pitanje 20

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Pitanje 21

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Pitanje 22

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Pitanje 23

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Hint:

Pitanje 24

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Pitanje 25

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Pitanje 26

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Pitanje 27

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Pitanje 28

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Therefore, we can say,

Pitanje 29

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Pitanje 30

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_{Hint: The second y has an invisible exponent of 1}

Pitanje 31

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Pitanje 32

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What's the rule?

x^ab

x^a+b

x^a-b

Example similar to #33:

Notice how we still multiply the coefficients (3 x 2) but add the exponents.

Pitanje 33

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Now you try!

Pitanje 34

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Pitanje 35

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Pitanje 36

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Therefore, we can say:

Pitanje 37

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Pitanje 38

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Pitanje 39

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_{Hint: z has an invisible exponent of 1}

Pitanje 40

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What's the rule?

Pitanje 41

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Now you try!

Pitanje 42

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Pitanje 43

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Pitanje 44

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Pitanje 45

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What's the rule?

Pitanje 46

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Now you try!

Example similar to #47:

Notice how we still divide the coefficients (15 / 5) but subtract the exponents.

Pitanje 47

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Now you try!