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Exponents
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CanadaON
Grade 12

Conversions between exponential and radical forms

Lesson
Practice
Lesson

Worked Examples

Question 1

Consider the following.

  1. Rewrite $x^{\frac{1}{3}}$x13​ in radical form.

  2. Evaluate $\sqrt[3]{x}$3√x for when $x=125$x=125.

Question 2

Complete the blank to make the statement true.

  1. $10^{\frac{1}{3}}=\sqrt[3]{\editable{}}$1013​=3√

Question 3

Fill in the blanks to simplify the given expression.

  1. $\sqrt{m^8}$√m8 $=$= $\left(m^8\right)^{\editable{}}$(m8)
      $=$= $m^{\editable{}\times\frac{1}{2}}$m×12​
      $=$= $m^{\editable{}}$m

Outcomes

12C.A.1.3

Determine, through investigation using a variety of tools and strategies, the value of a power with a rational exponent (i.e., x^(m/n), where x > 0 and m and n are integers)

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