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.
Q2:
Determine the simplest form of .
- A
- B3
- C
- D27
Q3:
Simplify .
- A864
- B216
- C
- D
Q5:
Simplify .
- A
- B
- C
- D
Q7:
Simplify .
- A150
- B
- C3,125
- D
Q8:
Simplify .
- A
- B
- C1
- D
- E
Q9:
Calculate , giving your answer in its simplest form.
- 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
Q20:
Simplify .
- A
- B
- C84
- D6,270
- 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