# Lesson Worksheet: Simplifying Exponential Expressions with Rational Exponents Mathematics

In this worksheet, we will practice performing operations and simplifications with expressions that involve rational exponents.

Q1:

Simplify .

• A
• B
• C320
• D

Q2:

Determine the simplest form of .

• A
• B3
• C
• D27

Q3:

Simplify .

• A864
• B216
• C
• D

Q4:

Simplify .

• A4
• B256
• C
• D

Q5:

Simplify .

• A
• B
• C
• D

Q6:

Simplify .

• A
• B
• C
• D

Q7:

Simplify .

• A150
• B
• C3,125
• D

Q8:

Simplify .

• A
• B
• C1
• D
• E

Q9:

• A
• B
• C
• D5
• E

Q10:

Simplify and evaluate this expression when .

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

Q11:

Simplify .

Q12:

Simplify .

• A
• B
• C
• D

Q13:

What is the value of ?

Q14:

Simplify , and evaluate this expression when .

• A,
• B, 1
• C,
• D, 9

Q15:

Simplify , .

• A
• B
• C
• D1
• E

Q16:

Simplify .

Q17:

Expand , where is a real constant.

• A
• B
• C
• D
• E

Q18:

Simplify , where and are positive constants.

• A
• B
• C
• D
• E

Q19:

Simplify .

• A790
• B1,012
• C1,800
• D
• E

Q20:

Simplify .

• A
• B
• C84
• D6,270
• E

Q21:

Simplify .

• A
• B162,000
• C
• D10,125
• E

Q22:

Fill in the blank: The expression can be written as .

• A
• B
• C
• D
• E

Q23:

Simplify .

• A
• B
• C
• D
• E

Q24:

For the expression , .

Write this expression in the form , where is a function written in terms of .

• A
• B
• C
• D
• E

Evaluate this expression when and . Round your answer to two decimal places if needed.

Q25:

Simplify , where is a positive constant and .

• A
• B
• C
• D
• E