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Worksheet: Converting Exponential Expressions to Radical Expressions and Simplifying Them

Q1:

Express in the form .

  • A
  • B
  • C
  • D

Q2:

Express in the form .

  • A
  • B
  • C
  • D

Q3:

Express in the form .

  • A
  • B
  • C
  • D

Q4:

Express in form of .

  • A
  • B
  • C
  • D
  • E

Q5:

Express in form of .

  • A
  • B
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  • D
  • E

Q6:

Express in the form .

  • A
  • B
  • C
  • D
  • E

Q7:

Express in the form .

  • A
  • B
  • C
  • D
  • E

Q8:

Using the addition rule for rational exponents, we can write in the radical form

Use the example above to help you rewrite in radical form.

  • A
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  • E

Q9:

Express in the form .

  • A
  • B
  • C
  • D
  • E

Q10:

Express in the form .

  • A
  • B
  • C
  • D
  • E

Q11:

Express in the form .

  • A
  • B
  • C
  • D
  • E

Q12:

Write in radical form.

  • A
  • B
  • C
  • D
  • E

Q13:

Write in radical form.

  • A
  • B
  • C
  • D
  • E

Q14:

A square has an area of 349 cm2. Determine the length of its diagonal.

  • A87.25 cm
  • B174.5 cm
  • C cm
  • D cm
  • E cm

Q15:

The radius of a sphere is given by the formula , where is the sphere’s volume. Determine the difference in radius between a sphere with volume and a sphere with .