Lesson Worksheet: Simplifying Exponential Expressions with Rational Exponents Mathematics • 9th Grade

In this worksheet, we will practice performing operations and simplifications with expressions that involve rational exponents.

Q1:

Simplify −64𝑎𝑏, where 𝑎 and 𝑏 are positive constants.

  • A(64)𝑎𝑏
  • B2𝑎𝑏
  • C−𝑎𝑏(64)
  • D−2𝑎𝑏
  • E−2𝑎𝑏

Q2:

Simplify (0.25)(1.8)8.

  • A81800
  • B162,000
  • C571,000
  • D10,125
  • E8150

Q3:

Simplify 𝑎×(𝑎)𝑎×(32𝑎), where 𝑎 is a positive constant and 𝑎≠1.

  • A𝑎
  • B2𝑎
  • C12𝑎
  • D12𝑎
  • E12𝑎

Q4:

Simplify 45×(63)×3225×(21).

  • A3
  • B3
  • C3
  • D9

Q5:

Determine the simplest form of (16)×27(144)×√81.

  • A127
  • B3
  • C13
  • D27

Q6:

Simplify 4×252×50.

  • A4
  • B256
  • C1256
  • D14

Q7:

Simplify (36)×86×(12)×√16.

  • A864
  • B216
  • C1216
  • D1864

Q8:

Expand −𝑎+1𝑎, where 𝑎 is a real constant.

  • A−𝑎−2𝑎−1𝑎
  • B−𝑎−1𝑎
  • C𝑎+2𝑎+1𝑎
  • D𝑎−2𝑎+1𝑎
  • E𝑎+1𝑎

Q9:

Simplify (0.8)×(36)×5(30)×(1.25).

  • A790
  • B1,012
  • C1,800
  • D141,000
  • E761,000

Q10:

Simplify (36)×(21)×(8)(486)×(42).

  • A184
  • B741,000
  • C84
  • D6,270
  • E411,000

Practice Means Progress

Download the Nagwa Practice app to access 22 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.