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Lesson: Simplifying Monomials

In this lesson, we will learn how to simplify algebraic expressions as monomials using the “power of a power” property.

Sample Question Videos

01:10
01:26
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Worksheet • 16 Questions • 3 Videos

Q1:

Which of the following is equal to 3 2 4 5 ?

  • A 3 4 0
  • B 3 1 2 0
  • C 3 3 0
  • D 3 1 8
  • E 3 1 1

Q2:

Simplify ( 𝑥 ) 3 2 .

  • A 𝑥 6
  • B 𝑥 9
  • C 𝑥 8
  • D 𝑥 5

Q3:

Simplify 𝑥 𝑦 6 3 5 .

  • A 𝑥 𝑦 3 0 1 5
  • B 𝑥 𝑦 1 1 8
  • C 𝑥 𝑦 8 1 1
  • D 𝑥 𝑦 1 5 3 0

Q4:

Which of the following is equal to 3 ( 5 ) 2 ?

  • A 3 2 5
  • B 3 5 2
  • C 3 1 0
  • D 3 7

Q5:

Simplify √ 3 √ 3 1 1 8 8 1 1 .

  • A1
  • B0
  • C6
  • D3

Q6:

What is the value of √ 6 + √ 6 2 2 2 2 ?

  • A72
  • B1
  • C0
  • D6

Q7:

Simplify − 4 𝑥 𝑦 × 𝑥 𝑦 − 2 𝑥 𝑦 5 3 3 5 2 3 .

  • A 2 𝑥 𝑦 6 5
  • B 4 𝑥 𝑦 6 5
  • C − 4 𝑥 𝑦 6 5
  • D 2 𝑥 𝑦 6 1 1
  • E 2 𝑥 𝑦 1 0 5

Q8:

Calculate 1 0 × 2 5 × 4 2 0 × 5 5 2 2 5 .

Q9:

Calculate ( − 1 ) − ( − 1 ) 1 5 1 6 4 5 .

Q10:

Which is greater, ( − 9 ) 3 5 or ( − 9 ) 8 1 0 ?

  • A ( − 9 ) 3 5
  • B ( − 9 ) 8 1 0

Q11:

Which of the following has the same value as 2 3 ( 2 ) 3 ?

  • A 2 3 8 8
  • B 2 3 × 2 3 2 3
  • C 2 3 6
  • D 4 9 3
  • E 1 6 2 4

Q12:

Using the power of a power rule, find the expression that is equivalent to 1 1 8 8 .

  • A 1 1 4 2 2
  • B 1 1 8 8
  • C 1 1 2 2 6 6
  • D 1 1 4 8 4

Q13:

Is it true that 𝑎 = 𝑎 𝑘 𝑙 𝑙 𝑘 ?

  • ANo
  • BYes

Q14:

Which of the following is equal to 1 2 2 3 ?

  • A 1 2 6
  • B 1 4 4 2
  • C 1 2 5
  • D 1 7 2 8 3
  • E 1 2 8

Q15:

Which of the following is equal to 3 0 ( 3 ) 2 ?

  • A 3 0 9
  • B 3 0 6
  • C 3 0 8
  • D 3 0 5

Q16:

Which of the following is equal to 4 2 2 7 ?

  • A 4 2 8
  • B 4 1 1
  • C 4 1 1 2
  • D 4 1 8
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