# Worksheet: Simplifying Expressions: Negative and Fractional Exponents

In this worksheet, we will practice using the rules of negative and fractional indices to solve problems.

Q1:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q2:

Simplify .

• A
• B36
• C
• D432
• E324

Q3:

Evaluate .

Q4:

Evaluate .

• A
• B
• C
• D54
• E

Q5:

Simplify .

• A
• B
• C
• D8
• E64

Q6:

Which of the following is equal to ?

• A1,296
• B6
• C
• D36
• E

Q7:

Find the value of .

• A81
• B
• C1
• D
• E

Q8:

Which of the following expressions is equal to ?

• A
• B
• C
• D
• E

Q9:

Simplify .

• A
• B
• C
• D
• E

Q10:

Which of the following is equal to ?

• A
• B
• C
• D

Q11:

Let . Which of the following numbers is rational?

• A
• B
• C
• D
• E

Q12:

Which of the following has the same value as ?

• A
• B
• C
• D
• E

Q13:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q14:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q15:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q16:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q17:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q18:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q19:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q20:

Which of the following expressions has the same value as ?

• A
• B
• C
• D
• E

Q21:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q22:

Which of the following is equal to ?

• A
• B
• C
• D27
• E59,049

Q23:

Which of the following has the same value as ?

• A
• B256
• C
• D
• E4

Q24:

Which of the following has the same value as ?

• A
• B
• C
• D
• E

Q25:

Which of the following has the same value as ?

• A
• B
• C
• D
• E