# Worksheet: Simplifying Monomials Using the Quotient Rule

In this worksheet, we will practice simplifying monomials using the quotient of powers.

Q1:

Simplify .

• A
• B
• C
• D

Q2:

Simplify .

• A
• B
• C
• D

Q3:

Simplify .

• A
• B
• C
• D
• E

Q4:

Simplify , where .

• A
• B
• C
• D

Q5:

Simplify .

• A
• B
• C
• D
• E

Q6:

Simplify .

• A
• B
• C
• D
• E 6

Q7:

Simplify .

• A150
• B 3,125
• C
• D

Q8:

Simplify .

• A20
• B
• C
• D256
• E4

Q9:

Simplify .

• A
• B
• C1
• D
• E

Q10:

• A
• B
• C
• D
• E5

Q11:

Simplify and evaluate this expression when .

• A , 12
• B , 12
• C , 54
• D , 54
• E , 54

Q12:

Simplify .

Q13:

What is the value of ?

Q14:

Simplify , given that .

• A
• B
• C
• D
• E

Q15:

Which of the following is equal to , where ?

• A
• B
• C
• D
• E

Q16:

Simplify .

• A
• B
• C
• D

Q17:

Simplify , and evaluate this expression when .

• A , 9
• B , 1
• C ,
• D ,

Q18:

Simplify .

• A
• B
• C
• D
• E

Q19:

Simplify .

• A
• B
• C
• D
• E

Q20:

Simplify .

• A
• B
• C
• D
• E