Lesson Worksheet: Simplifying Algebraic Expressions: Negative and Fractional Exponents Mathematics

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

Q1:

Evaluate 0.2.

Q2:

Simplify 𝑚𝑛2𝑚𝑛.

  • A18𝑚𝑛
  • B𝑚8𝑛
  • C8𝑚𝑛
  • D𝑚𝑛8
  • E8𝑚𝑛

Q3:

Which of the following is equal to 109𝑥𝑦?

  • A109𝑥𝑦
  • B10𝑥𝑦9
  • C109𝑥𝑦
  • D910𝑥𝑦

Q4:

True or False: The simplified form of 2𝑥𝑦 is 2𝑦𝑥.

  • ATrue
  • BFalse

Q5:

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

  • ATrue
  • BFalse

Q6:

Simplify the expression 2𝑥𝑦.

  • A4𝑥𝑦
  • B3𝑥𝑦
  • C2𝑥𝑦
  • D2𝑥𝑦
  • E2𝑥𝑦

Q7:

Simplify the expression 𝑥𝑦.

  • A𝑥𝑦
  • B𝑥𝑦
  • C𝑥𝑦
  • D𝑥𝑦
  • E𝑥𝑦

Q8:

Simplify the expression 𝑡𝑣𝑡𝑣.

  • A𝑡𝑣
  • B𝑡𝑣
  • C𝑡𝑣
  • D𝑡𝑣
  • E𝑡𝑣

Q9:

Simplify the expression 𝑡𝑣𝑡𝑣.

  • A𝑡𝑣
  • B𝑡𝑣
  • C𝑡𝑣
  • D𝑡𝑣
  • E𝑡𝑣

Q10:

Simplify the expression 9𝑎6𝑏.

  • A3𝑎2𝑏
  • B2𝑎3𝑏
  • C3𝑏2𝑎
  • D3𝑏2𝑎
  • E2𝑏3𝑎

Q11:

Simplify the expression 2𝑥𝑦.

  • A𝑥2𝑦
  • B4𝑦𝑥
  • C𝑥2𝑦
  • D2𝑦𝑥
  • E𝑥4𝑦

Q12:

Simplify the expression 𝑥𝑦.

  • A𝑥𝑦
  • B𝑥𝑦
  • C𝑥𝑦
  • D𝑥𝑦
  • E𝑦𝑥

Q13:

Simplify the expression 𝑥𝑦.

  • A𝑦𝑥
  • B𝑥𝑦
  • C𝑥𝑦
  • D1𝑥𝑦
  • E𝑥𝑦

Q14:

True or False: The simplified form of 𝑥𝑦 is 𝑦𝑥.

  • AFalse
  • BTrue

Q15:

Simplify the expression 𝑥𝑥.

  • A𝑥
  • B𝑥
  • C1𝑥
  • D1𝑥
  • E𝑥

Q16:

Which of the following is equal to 4𝑥𝑦?

  • A2𝑥𝑦
  • B2𝑥𝑦
  • C4𝑥𝑦
  • D4𝑥𝑦
  • E2𝑦𝑥

Q17:

True or False: The simplified form of 𝑥𝑦 is 𝑥𝑦.

  • AFalse
  • BTrue

Q18:

Simplify the expression 4𝑥2𝑥.

  • A4𝑥
  • B2𝑥
  • C2𝑥
  • D4𝑥
  • E2𝑥

Q19:

Simplify the expression 𝑥𝑦, where 𝑥 and 𝑦 are positive numbers.

  • A𝑦𝑥
  • B𝑥𝑦
  • C𝑦𝑥
  • D𝑥𝑦
  • E𝑥𝑦

Q20:

True or False: The simplified form of 𝑥2𝑦×𝑥4𝑦 is 14𝑥𝑦, where 𝑥 and 𝑦 are positive numbers.

  • ATrue
  • BFalse

Q21:

Given that 𝑥 and 𝑦 are positive numbers, which of the following is equal to 4𝑥𝑦?

  • A2𝑦𝑥
  • B4𝑥𝑦
  • C𝑥2𝑦
  • D𝑦2𝑥
  • E4𝑥𝑦

Q22:

Simplify the expression 2𝑎3𝑏, where 𝑎 and 𝑏 are positive numbers.

  • A9𝑎4𝑏
  • B4𝑏9𝑎
  • C9𝑏4𝑎
  • D49𝑎𝑏
  • E4𝑎9𝑏

Q23:

Simplify the expression 2𝑥3𝑦, where 𝑥 and 𝑦 are positive numbers.

  • A9𝑦4𝑥
  • B2𝑥3𝑦
  • C94𝑥𝑦
  • D49𝑥𝑦
  • E4𝑥9𝑦

Q24:

Simplify the expression 𝑥𝑦8𝑥5𝑦, where 𝑥 and 𝑦 are positive numbers.

  • A64𝑦25𝑥
  • B64𝑥25𝑦
  • C2564𝑥𝑦
  • D25𝑦64𝑥
  • E64𝑦25𝑥

Q25:

True or False: The simplified form of 𝑥𝑦𝑦 is 𝑥𝑦.

  • AFalse
  • BTrue

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