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Lesson: Operations on Integer Powers

Sample Question Videos

Worksheet • 9 Questions • 3 Videos

Q1:

Simplify ο€Ή 1 4 π‘₯ Γ· 7 π‘₯  + 4 π‘₯ 1 0 4 6 , where π‘₯ β‰  0 .

  • A 6 π‘₯ 6
  • B 1 1 π‘₯ 2
  • C 6 π‘₯ 1 4
  • D 1 1 π‘₯ 6
  • E 6 π‘₯ 2

Q2:

Simplify .

  • A 4
  • B
  • C
  • D 256

Q3:

What is the value of ο€Ή 2 βˆ’ 2  Γ· 2 π‘₯ + 7 π‘₯ + 4 π‘₯ ?

Q4:

We can use the power rule of exponents applied to rational exponents to write which simplifies to 8 3 2 , in the radical form

Use the example above to help you rewrite ο€½ 2 3  5 6 3 in radical form.

  • A ο€» √ 2 3  2 5
  • B ο€» √ 6 9  6 5
  • C ο€» √ 2 3  5 2
  • D ο€» √ 2 3  6 8
  • E ο€» √ 2 3  1 8 1 5

Q5:

Given that 𝑧 = βˆ’ 1 4 , find the numerical value of ( βˆ’ 8 𝑧 ) Γ— 𝑧 1 6 𝑧 4 2 3 .

  • A βˆ’ 4
  • B βˆ’ 6 4
  • C 1 8
  • D 1 3
  • E 1 1 2 8

Q6:

Given that 𝑧 = βˆ’ 1 3 , find the numerical value of ( 3 𝑧 ) Γ— 𝑧 9 𝑧 2 4 .

  • A βˆ’ 3
  • B 9
  • C βˆ’ 1 9
  • D βˆ’ 1 1 8
  • E βˆ’ 1

Q7:

Simplify 4 5 Γ— ( 6 3 ) Γ— 3 2 2 5 Γ— ( 2 1 ) 1 8 𝑛 βˆ’ 9 𝑛 9 𝑛 9 𝑛 βˆ’ 9 𝑛 .

  • A 3 1 8 𝑛
  • B 3 9 𝑛
  • C 3 𝑛
  • D 9 𝑛

Q8:

Find the value of π‘Ž for which 2 βˆ’ 2 = π‘Ž Γ— 2 π‘₯ + 6 π‘₯ + 2 π‘₯ .

Q9:

Simplify ο€» √ 2  Γ— 3 0 ο€» √ 2  Γ— 6 Γ— 5 8 𝑛 + 1 0 8 𝑛 + 3 8 𝑛 8 𝑛 8 𝑛 + 4 .

  • A 6 9 1 2 5
  • B 2 1 6 5
  • C 5 2 1 6
  • D 5 6 9 1 2
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