Lesson 8: Index Laws — Multiplication and Division

Year 10 Mathematics Unit 1 — Block B | Worksheet

Name

Date

Class

Multiple Choice

Q1. Simplify a^4 x a^5.

A) a^9 B) a^20 C) 2a^9 D) a

Q2. Simplify 7^9 / 7^4.

A) 7^13 B) 7^5 C) 7^36 D) 1^5

Q3. Simplify x^3 x x^(-2) x x^4.

A) x^5 B) x^24 C) x^(-5) D) x^(-24)

Q4. Which expression is equivalent to (a^5 x a^3) / a^2?

A) a^(15/2) B) a^6 C) a^7.5 D) a^10

Q5. If 2^m x 2^n = 128 and m = 3, what is the value of n?

A) 3 B) 4 C) 5 D) 7

Q6. Simplify a^7 x a^(-3) / a^2, leaving your answer in index form. (2 marks)

Q7. Simplify (3^8 x 3^(-2)) / 3^3, giving your answer as a single power of 3. (3 marks)

Q8. Explain why a^m x a^n = a^(m+n) using an example with a = 2, m = 3 and n = 4. (3 marks)