# Lesson Worksheet: Simplifying Expressions: Rules of Exponents Mathematics

In this worksheet, we will practice simplifying algebraic expressions using the rules of exponents.

Q1:

Factor out the greatest common factor to rewrite the expression .

• A
• B
• C
• D
• E

Q2:

Which of the following numbers is the expression divisible by for all natural numbers ?

• A244
• B489
• C493
• D245

Q3:

Simplify .

• A
• B
• C
• D
• E

Q4:

Simplify the expressions and .

• A,
• B,
• C,
• D,
• E,

Q5:

If and are like terms, what are the values of and ?

• A,
• B,
• C,
• D,
• E,

Q6:

Simplify , where .

• A
• B
• C
• D

Q7:

Given that and , determine, in its simplest form, the algebraic expression that represents the area of triangle . • A
• B
• C
• D
• E

Q8:

Complete the following: .

• A
• B
• C
• D
• E

Q9:

• A
• B
• C
• D
• E

Q10:

Simplify .

• A
• B
• C
• D
• E

Q11:

Complete the following: .

• A
• B
• C
• D

Q12:

Which of these equations is satisfied by and ?

• A
• B
• C
• D

Q13:

Given that , determine the value of .

Q14:

Given that , find the numerical value of .

• A
• B
• C
• D
• E

Q15:

Simplify .

• A
• B
• C
• D