Lesson 13: Fractional Indices [PATHS]

Year 10 Mathematics Unit 1 — Block B | Worksheet

Name

Date

Class

Multiple Choice

Q1. Evaluate 16^(1/2).

A) 8 B) 4 C) 32 D) 256

Q2. Evaluate 27^(2/3).

A) 9 B) 18 C) 6 D) 81

Q3. Simplify x^(1/2) x x^(3/2).

A) x^(3/4) B) x^2 C) x^(1/3) D) x

Q4. Which expression is equal to fourth root of x^3?

A) x^(3/4) B) x^(4/3) C) x^(1/12) D) x^12

Q5. If a^(1/2) = 5, what is a?

A) 2.5 B) 10 C) 25 D) sqrt(5)

Q6. Evaluate 32^(3/5). (2 marks)

Q7. Simplify x^(5/2) / x^(1/2), giving your answer with a positive index. (3 marks)

Q8. Explain the connection between a^(1/n) and nth root of a. Use 64^(1/3) as an example. (3 marks)