Laws of Exponents

Laws of Exponents

Multiple Choice

Product Rule

When multiplying exponents with the same base, _______ the exponents.

• subtract

• add

• multiply

• divide

Multiple Choice

Quotient Rule

When dividing exponents with teh same base, ________the exponents

• subtract

• divide

• add

• multiply

Multiple Choice

Zero Rule

Any number raised to the zero power is always__________.

• zero

• one

• exponent

• raised

Multiple Choice

The Ones Rules

A. A number raised to one is always that number.

B. One ________to any number i always one.

• number

• subtracted

• raised

• adding

Multiple Choice

Negative Exponent Rule

When you have a negative exponent, take the reciprocal of the base and exponent. Always get rid of the ____________exponents in an expression.

• zero

• negative

• positive

• ugly

Multiple Choice

Power to a Power Rule

When raising a power to a power, keep the base and ________ the exponents

• postive

• subtract

• multiply

• divide

Multiple Choice

Power of a Product Rule

When raising a product to a power, __________ the exponents to each factor in the product. Then simplify the expression.

• distribute

• add

• multiply

• divide

Multiple Choice

Power of a Quotient Rule

When raising a quotient to a power, distribute the _____________ to the numerator and denominator. Then simplify the expression.

• exponent

• numbers

• integers

• name

Multiple Choice

True or False: 

• True 
• False

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Multiple Choice

Evaluate the expression using the quotient rule.

• 3⁴
• 1/3⁴
• 3^-12
• 3³²

Multiple Choice

True or False?

• True
• False

Multiple Choice

Simplify: $$\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$$  

• $$16a^8b^9c^9$$  

• $$8a^8b^9c^9$$  

• $$8a^6b^5c^6$$  

• $$16a^5b^5c^6$$  

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

3³ ⋅ 3

• 3⁴
• 3³
• 3⁰
• 1 ⁄ 3⁴

Multiple Choice

Simplify
m⁵⋅m²

• m⁷
• m³
• m¹⁰
• m²

Multiple Choice

Simplify
(y³)⁵

• y¹⁵
• y⁸
• y⁻²
• y

Multiple Choice

Simplify:  x¹⁰⋅x⁴

• x⁴⁰
• x¹⁴
• x⁶
• 2x¹⁴

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

(x⁵)⁴

• x⁹
• x²⁰
• x
• x⁵⁴

Multiple Choice

(3³)²

• 81

• 3⁶

• 3⁵

• 9²

Multiple Choice

Identify the base in this power: $$2^{12}$$  

• 1

• 12

• 2

• 4096

Multiple Choice

True or false: $$2^4$$  means 2x2x2x2.

• true

• false

Multiple Choice

n²⋅n⁴

• n²
• n⁸
• n⁶
• n²²

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

Which number is the BASE?
2³ = 8

• 2
• 3
• 8

Multiple Choice

Which number is the EXPONENT?
4^{2 =} 16

• 4
• 2
• 16

Multiple Choice

(2x⁷)³

• 6x²¹
• 8x²¹
• 6x¹⁰
• 8x¹⁰

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

(x⁵)(x⁸)

• x¹³
• x^-3
• x⁴⁰
• x⁵⁸

Multiple Choice

In 2³ what is the exponent?

• 2
• 3
• 2³

Multiple Choice

5³⋅5⁴

• 5⁷
• 5⁻¹
• 5¹²
• 5

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

7⁰

• 1
• 7
• 0
• -7

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 

• 7⁵
• 7⁶
• 6⁷
• 7⁷

Multiple Choice

How would you represent 8⁶ ?

• 8 x 6
• 8 x 8 x 6
• 8 x 8 x 8 x 8 x 8 x 8
• 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

How would you say this? 
5⁴

• 4 to the power of 5
• 5 times 4
• 5 to 4
• 5 to the 4th power