Exponent Remediation

Exponent Remediation

by Katie Butler

​For this lesson you will...

1. ​Watch a video on how to work complete the exponent problems

2. ​Practice with that topic

3. ​Repeat steps 1-2 for all exponent rules

4. ​Final practice involving all rules

​Product and Division Rule Rule

Multiple Choice

Simplify

x² ∗ x⁶

• x⁸

• x⁴

• x¹²

• 2x⁸

Multiple Choice

Simplify

c¹² ∗ c¹³

• c²⁵

• c¹⁵⁶

• c¹²³

• 2c²⁵

Multiple Choice

Simplify

(v⁵)(v⁵)

• v¹⁰

• v²⁵

• 2v¹⁰

• 2v²⁵

Multiple Choice

In order to multiply terms with the same base, we add their exponents.

• True

• False

Multiple Choice

Simplify

2x³ ∗ 4x⁵

• 8x⁸

• 6x⁸

• 6x¹⁵

• 8x¹⁵

Multiple Choice

Simplify

x ∗ x

• x²

• 2x

• 2x²

• x

Multiple Choice

Simplify

-4m² ∗ m²

• -4m⁴

• -3m⁴

• -3m²

Multiple Choice

Simplify

(9h)(-4h)

• -36h²

• -36h

• 5h

• 5h²

Multiple Choice

Simplify

4 ∗ x

• 4x

• 4x²

• x²

• 4

Multiple Choice

(x)(-3)

• -3x

• x³

• x-3

• 3x

Multiple Choice

Simplify

-10k² ∗ k

• -10k³

• -10k²

• -9k³

• -9k²

Multiple Choice

Simplify the expression.
x⁴ (x¹²)

• x³
• x⁴⁸
• x¹⁶
• x⁸

Multiple Choice

Simplify the expression. 
(6x²)(-3x⁵)

• 18x⁷
• -18x⁷
• 18x⁷
• 3x⁷

Multiple Choice

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

What special word do you use for the exponent of 2?

• squared
• cubed
• triangled
• boxed

​Power to a Power Rule

​Products to Powers

• ​

Multiple Choice

$$\left(4xy^3\right)^3$$  

• $$x^3y^9$$  

• $$64x^3y^9$$  

• $$12x^4y^6$$  

• $$64x^4y^6$$  

Multiple Choice

$$\left(3u^2v^3\right)^2$$  

• $$9u^4v^5$$  

• $$6u^4v^5$$  

• $$9u^4v^6$$  

• $$6u^4v^6$$  

Multiple Choice

$$\left(3n^4\right)^3$$  

• $$9n^{12}$$  

• $$9n^7$$  

• $$27n^7$$  

• $$27n^{12}$$  

Multiple Choice

$$\left(4hj\right)^0$$  

• $$0$$  

• $$4h^1j^1$$  

• $$4$$  

• $$1$$  

Multiple Choice

$$\left(4a^2b^2c^4\right)^3$$  

• $$12a^5b^5c^7$$  

• $$64a^6b^6c^{12}$$  

• $$12a^5b^5c^7$$  

• $$64a^5b^5c^7$$  

Multiple Choice

Which of the following is the correct way to simplify this expression? $$\left(a^mb^n\right)^p$$  

• $$ab^{m\cdot n\cdot p}$$  

• $$a^{m\cdot p}\ b^{n\cdot p}$$  

• $$a^mb^n$$  

Multiple Choice

$$\left(4yx^4\right)^2$$  

• $$8y^3x^6$$  

• $$6y^2x^8$$  

• $$8y^2x^8$$  

• $$16y^2x^8$$  

Multiple Choice

Simplify the following: $$\left(r^7s^3\right)^3$$  

• $$r^7s^9$$  

• $$r^{21}s^9$$  

• $$r^{21}s^3$$  

Multiple Choice

Simplify the following: $$\left(abc^5\right)^5$$

• $$a^5b^5c^{25}$$

• $$a^5b^5c^5$$

• $$abc^{25}$$

Multiple Choice

Simplify the following: $$\left(x^2y^4m^3\right)^8$$  

• $$x^{10}y^{12}m^{11}$$  

• $$x^6y^{-4}m^{-5}$$  

• $$x^{16}y^{32}m^{24}$$  

​Negative Exponents

• ​

Multiple Choice

Rewrite using a positive exponent. 7^-10

• ¹/_7¹⁰

• 7¹⁰

• ¹/_7^-10

• -70

Multiple Choice

Rewrite using a positive exponent. (-5)^-4

• (-5)⁴

• ¹/_(-5)^-4

• ¹/_(-5)⁴

• -625

Multiple Choice

Rewrite each expression with a negative exponent. ¹/_12⁴

• ¹/_12^-4

• 12⁴

• ¹/_20,736

• 12^-4

Multiple Choice

Simplify. s^-5 ⋅ s^-2

• s^-3

• ¹/_s⁷

• s^-7

• ¹/_s³

Multiple Choice

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴