# Lesson Worksheet: Simplifying Algebraic Expressions: Negative and Fractional Exponents Mathematics

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

Q1:

Evaluate .

Q2:

Simplify .

• A
• B
• C
• D
• E

Q3:

Which of the following is equal to ?

• A
• B
• C
• D

Q4:

True or False: The simplified form of is .

• ATrue
• BFalse

Q5:

True or False: The simplified form of is .

• ATrue
• BFalse

Q6:

Simplify the expression .

• A
• B
• C
• D
• E

Q7:

Simplify the expression .

• A
• B
• C
• D
• E

Q8:

Simplify the expression .

• A
• B
• C
• D
• E

Q9:

Simplify the expression .

• A
• B
• C
• D
• E

Q10:

Simplify the expression .

• A
• B
• C
• D
• E

Q11:

Simplify the expression .

• A
• B
• C
• D
• E

Q12:

Simplify the expression .

• A
• B
• C
• D
• E

Q13:

Simplify the expression .

• A
• B
• C
• D
• E

Q14:

True or False: The simplified form of is .

• AFalse
• BTrue

Q15:

Simplify the expression .

• A
• B
• C
• D
• E

Q16:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q17:

True or False: The simplified form of is .

• AFalse
• BTrue

Q18:

Simplify the expression .

• A
• B
• C
• D
• E

Q19:

Simplify the expression , where and are positive numbers.

• A
• B
• C
• D
• E

Q20:

True or False: The simplified form of is , where and are positive numbers.

• ATrue
• BFalse

Q21:

Given that and are positive numbers, which of the following is equal to ?

• A
• B
• C
• D
• E

Q22:

Simplify the expression , where and are positive numbers.

• A
• B
• C
• D
• E

Q23:

Simplify the expression , where and are positive numbers.

• A
• B
• C
• D
• E

Q24:

Simplify the expression , where and are positive numbers.

• A
• B
• C
• D
• E

Q25:

True or False: The simplified form of is .

• AFalse
• BTrue