Alg. 1 7-2 Part 2

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7-2 Division Properties of

Exponents

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Zero Exponent Property

➔

Any number, variable or whole quantity raised to the
power of 0 equals 1

➔

Be careful because only what is raised to the power of 0
becomes 1

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Examples

Simplify

7. 8.

Multiple Choice

2⁰

• -1

• 0

• 1

Multiple Choice

Which film is this?

• Guardians of the Galaxy

• Space Jam

• Iron Man

• Jumanji

Multiple Choice

(-3)⁰

• -1

• 0

• 1

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Learning Target and Success Criteria

Learning Target

Success Criteria

❏

I can divide monomials using the
properties of exponents

❏

I can convert negative exponents
to positive exponents

❏

I can recognize the 0 exponent rule

❏

I will simplify my coefficients if
possible

❏

I will SUBTRACT the smaller
exponent from the larger one, if the
base is the same

❏

I will use the reciprocal property to
eliminate negative exponents

❏

I will use the rule of the 0 exponent

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Negative Exponent Property

➔

If you have a negative exponent, the way you get rid of it
is by doing the reciprocal

➔

If you have a negative exponent in the numerator, move
to denominator

➔

If you have a negative exponent in the denominator
move to the numerator

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Negative Exponent Property

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Examples

Simplify

9. 10.

Multiple Choice

5^-2

• 1/25

• 1/5²

Multiple Choice

Which Disney movie do these emojis show?

• Finding Nemo

• The Little Mermaid

• Moana

• Shrek

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷

• g⁷

• ¹/_g^-7

• -g⁷

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Examples

Simplify

11. 12.

Multiple Choice

What is 10⁰ equivalent to?

• 1

• 10

• 0

• 100

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Examples

Simplify

13. 14.

Multiple Choice

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴

Multiple Choice

Simplify $$\frac{12t^6r^{-4}}{-4t^{-3}r^{-2}}$$  

• $$-\frac{3t^{18}}{r^2}$$  

• $$-\frac{3t^9}{r^2}$$  

• $$-3t^9r^2$$  

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Learning Target and Success Criteria

Learning Target

Success Criteria

❏

I can divide monomials using the
properties of exponents

❏

I can convert negative exponents
to positive exponents

❏

I can recognize the 0 exponent rule

❏

I will simplify my coefficients if
possible

❏

I will SUBTRACT the smaller
exponent from the larger one, if the
base is the same

❏

I will use the reciprocal property to
eliminate negative exponents

❏

I will use the rule of the 0 exponent