# Worksheet: Exponential Expressions to Radical Expressions

In this worksheet, we will practice converting an exponential expression to its equivalent radical form.

Q1:

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• E

Q2:

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• E

Q3:

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

• A cm
• B cm
• C 174.5 cm
• D cm
• E 87.25 cm

Q4:

Express in the form .

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• E

Q5:

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

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Q6:

Which of the following is equivalent to ?

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Q7:

Which of the following is equivalent to ?

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• E

Q8:

Remember that .

Also, .

The first method is easier to calculate.

Which of the following is equivalent to ?

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• E

Q9:

Which of the following is equivalent to ?

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• E

Q10:

Calculate .

• A
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• E 7

Q11:

Remember that and that converting decimal bases to top heavy fractions can help you to simplify expressions with exponents.

For example,

Q12:

Completely simplify .

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Q13:

Evaluate .

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Q14:

Completely simplify .

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Q15:

Remember that and

So, for example,

Q16:

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Q17:

Express in the form .

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Q18:

Express in the form .

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Q19:

Express in the form .

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Q20:

Express in the form .

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• E