Lesson Worksheet: Simplifying Algebraic Expressions: Negative and Fractional Exponents Mathematics • 9th Grade

In this worksheet, we will practice using the rules of negative and fractional indices to solve algebraic problems.

Q1:

Which of the following is equal to −109𝑥𝑦?

  • A−109𝑥𝑦
  • B−10𝑥𝑦9
  • C−109𝑥𝑦
  • D−910𝑥𝑦

Q2:

True or False: The simplified form of 𝑥𝑥 is 1𝑥.

  • ATrue
  • BFalse

Q3:

Simplify the expression 2𝑥𝑦.

  • A𝑥2𝑦
  • B4𝑦𝑥
  • C𝑥2𝑦
  • D2𝑦𝑥
  • E𝑥4𝑦

Q4:

Simplify 𝑚𝑛2𝑚𝑛.

  • A18𝑚𝑛
  • B𝑚8𝑛
  • C8𝑚𝑛
  • D𝑚𝑛8
  • E8𝑚𝑛

Q5:

Simplify the expression 𝑥𝑦.

  • A𝑥𝑦
  • B𝑥𝑦
  • C𝑥𝑦
  • D𝑥𝑦
  • E𝑥𝑦

Q6:

True or False: The simplified form of 𝑥𝑦 is 𝑥𝑦.

  • AFalse
  • BTrue

Q7:

True or False: The simplified form of 𝑥𝑦𝑦 is 𝑥𝑦.

  • AFalse
  • BTrue

Q8:

Simplify the expression 2𝑥3𝑦, where 𝑥 and 𝑦 are positive numbers.

  • A9𝑦4𝑥
  • B2𝑥3𝑦
  • C94𝑥𝑦
  • D49𝑥𝑦
  • E4𝑥9𝑦

Q9:

Simplify the expression 4𝑥2𝑥.

  • A4𝑥
  • B2𝑥
  • C2𝑥
  • D4𝑥
  • E2𝑥

Q10:

Simplify the expression 𝑡𝑣𝑡𝑣.

  • A𝑡𝑣
  • B𝑡𝑣
  • C𝑡𝑣
  • D𝑡𝑣
  • E𝑡𝑣

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