Exponent Rules Review

Review of the
Laws of Exponents

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

Simplify using your exponent rule(s) (5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Multiple Choice

Simplify (-4x)⁰
(Hint: parenthesis matter)

• -4
• 4x
• -1
• 1

Multiple Choice

5⁰ = ?

• 5⁰ = 0

• 5⁰ = 1

• 5⁰ = 5

• 5⁰ = -1

Multiple Choice

(-5)⁰ = ?

• (-5)⁰ = 0

• (-5)⁰ = 1

• (-5)⁰ = 5

• (-5)⁰ = -1

Multiple Choice

x⁰ = ?

• x⁰ = 0

• x⁰ = 1

• x⁰ = x

• x⁰ = -1

Multiple Choice

(3x)⁰ = ?

• (3x)⁰ = 0

• (3x)⁰ = 1

• (3x)⁰ = 3

• (3x)⁰ = -1

Multiple Choice

$$\frac{5^0a^0}{b^0}=\ ?$$

• $$\frac{5^0a^0}{b^0}=0$$  =

• $$\frac{5^0a^0}{b^0}=1$$  

• $$\frac{5^0a^0}{b^0}=5$$  

• $$\frac{5^0a^0}{b^0}=\frac{5a}{b}$$  

Multiple Choice

$$7^0\ =\$$  

• 7

• 0

• 70

• 1

Multiple Choice

$$x^0\ =\$$  

• 1

• y

• x

• 0

Multiple Choice

$$m^0\ =\$$  

• 10

• m

• 1

• 0

Multiple Choice

Simplify the expression: 
c⁴⋅c³=

• ^c12
• c⁴⁺³
• c⁷

Multiple Choice

Simplify the expression:
5²⋅5¹=

• 5³
• 5³⁺¹
• 5²

Multiple Choice

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶⁺²⁺³
• r¹¹
• 11r

Multiple Choice

Simplify the expression.
x⁴ (x¹²)

• x³
• x⁴⁸
• x¹⁶
• x⁸

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

x ∗ x

• x²

• 2x

• 2x²

• x

Multiple Choice

(3³)(3⁴)

• 3⁷
• 3¹²
• 9⁷

Multiple Choice

(x⁸)(x⁵)

• X³
• X⁴⁰
• X¹³

Multiple Choice

According to exponent rules, when we divide powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

Simplify the expression:
(5⁸) ÷ (5²)

• 5⁶
• 5¹⁰
• 5⁴
• 5¹⁶

Multiple Choice

Can $$\frac{b^5}{b^2}$$  be simplified?

• Yes.

• No.

• I don't know, ask my teacher.

Multiple Choice

Evaluate the expression using the quotient rule.

• 1²²
• 1³⁰
• 6²²
• 6³⁰

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

 Evaluate the expression using the quotient rule.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

True or False: 

• True 
• False

Multiple Choice

Power Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Multiple Choice

Simplify the monomials.
$$\left(x^4\right)^2$$  

• $$x^8$$  

• $$x^6$$  

• $$8$$  

• $$x^2$$  

Multiple Choice

(8⁵)³

• 8⁸
• 8¹⁵
• 8²
• 1/8²

Multiple Choice

$$\left(4hj\right)^0$$  

• $$0$$  

• $$4h^1j^1$$  

• $$4$$  

• $$1$$  

Multiple Choice

Simplify:

$$\left(b^3\right)^8$$  

• $$b^{11}$$  

• $$8b^3$$

• $$b^{24}$$  

• $$24b$$

Multiple Choice

Simplify:

$$\left(x^5\right)^4$$  

• $$x^9$$  

• $$x^{20}$$  

• $$x$$

• $$x^{54}$$  

Multiple Choice

Which shows the Power Rule used correctly?  $$\left(ab\right)^5$$  

• $$ab^5$$  

• $$a^5b^5$$  

• $$a^5b$$  

• $$a^6b^6$$  

Multiple Choice

Simplify:

$$\left(2ab\right)^3$$  

• $$2^3a^3b^3$$  

• $$2ab^3$$  

• $$6a^3b^3$$  

• $$6ab$$  

Multiple Choice

Simplify:

$$\left(3y^4\right)^2$$  

• $$9y^8$$  

• $$9y^6$$

• $$6y^8$$

• $$6y^6$$  

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

Rewrite using a positive exponent.
w^-13

• -w¹³
• ¹/_w¹³
• ¹/_w^-13
• w¹³

Multiple Choice

Simplify.
s^-5 ⋅ s^-2

• s^-3
• ¹/_s⁷
• s^-7
• ¹/_s³

Multiple Choice

Simplify the following expression: $$\frac{1}{x^{-7}}$$  

• $$x^7$$  

• $$7x$$  

• $$\frac{1}{x^7}$$  

• $$-\frac{1}{x^7}$$