Worksheet: Radical Expressions to Exponential Expressions

In this worksheet, we will practice converting a radical expression to its equivalent exponential form and simplifying it.

Q1:

Express 𝑥 in the form 𝑥 .

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

Q2:

What is 1 0 6 ?

  • A 3 5
  • B 9 2 5
  • C 5 3
  • D 3 5

Q3:

What is one-eighth of 8 ?

  • A 8
  • B 8
  • C 8
  • D8
  • E1

Q4:

Find the value of 1 6 .

  • A 1 6
  • B 6 1
  • C 1 6
  • D 1 6

Q5:

Which of the following is equal to 𝑥 ?

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

Q6:

Which of the following is equivalent to 3 1 2 5 ?

  • A 1 2 5 3 1
  • B 3 1 2 5
  • C 1 2 5 1 2 5 1 3
  • D 1 2 5 1 3
  • E 1 2 5 × 1 3

Q7:

Which of the following denotes the 𝑛 t h root of 𝑎 ?

  • A 𝑎
  • B 𝑎
  • C 𝑎
  • D 𝑎

Q8:

Write 𝑥 in the form 𝑎 .

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

Q9:

Simplify 5 + 5 + 5 + 5 + 5 .

  • A 5
  • B 5
  • C 2 5
  • D 5
  • E 1 0

Q10:

Given that 𝑎 = 5 and 𝑏 = 2 , find the value of 𝑏 𝑎 𝑏 + 𝑎 .

Q11:

Which of the following is equal to 2 2 ?

  • A 2 2
  • B 2
  • C 2 2
  • D 2
  • E 1 2

Q12:

What is the value of 4 + 1 4 + 1 6 4 ?

  • A 4
  • B 1 4
  • C 16
  • D 1
  • E 8

Q13:

Which of the following is equal to 5 + 5 5 ( 5 ) ?

  • A 5 ( 5 )
  • B 4 ( 5 )
  • C 5
  • D 3 ( 5 )
  • E 5

Q14:

Which of the following is equivalent to 3 2 7 2 ?

  • A 2 7 3 2
  • B 2 7 2 7 2 3
  • C 2 7 2 7 2 1 3
  • D 2 7 2 3
  • E 3 2 2 7

Q15:

Express 𝑥 in the form 𝑥 .

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

Q16:

What is 7 1 4 ?

  • A 2
  • B 16
  • C 1 4
  • D 4
  • E 1 2

Q17:

Find the value of 2 3 6 .

  • A 2 3 6
  • B 6 2 3
  • C 2 3 6
  • D 2 3 6

Q18:

Which of the following is equal to 𝑥 ?

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

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