Worksheet: Simplifying Monomial Expressions

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

Q1:

Given that 𝐴 𝐷 = 𝑥 𝑦 c m and 𝐶 𝐵 = 6 𝑥 𝑦 c m , determine, in its simplest form, the algebraic expression that represents the area of triangle 𝐴 𝐵 𝐶 .

  • A 1 8 𝑥 𝑦
  • B 3 𝑥 𝑦
  • C 3 𝑥 𝑦
  • D 1 8 𝑥 𝑦
  • E 1 2 𝑥 𝑦

Q2:

Simplify 𝑥 × 𝑥 𝑥 × 𝑥 , where 𝑥 0 .

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

Q3:

Simplify 1 6 𝑎 8 𝑎 , leaving your answer in exponential form.

  • A 2 𝑎
  • B 2 𝑎
  • C 1 2 𝑎
  • D 2 𝑎
  • E 1 2 𝑎

Q4:

Simplify 2 9 𝑎 𝑏 .

  • A 2 9 𝑎 𝑏
  • B 4 8 1 𝑎 𝑏
  • C 2 9 𝑎 𝑏
  • D 4 8 1 𝑎 𝑏
  • E 4 8 1 𝑎 𝑏

Q5:

Expand 2 𝑥 𝑦 ( 5 𝑥 𝑦 2 𝑥 𝑦 ) .

  • A 1 0 𝑥 𝑦 4 𝑥 𝑦
  • B 1 0 𝑥 𝑦 2 𝑥 𝑦
  • C 2 0 𝑥 𝑦
  • D 1 0 𝑥 𝑦 4 𝑥 𝑦
  • E 1 0 𝑥 𝑦 + 4 𝑥 𝑦

Q6:

Complete the following: 6 4 𝑏 = ( ) .

  • A 4 𝑏
  • B 4 𝑏
  • C 4 𝑏
  • D 4 𝑏
  • E 1 6 𝑏

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