topic badge
CanadaON
Grade 11

Conversions between exponent and radical forms

Lesson

Worked Examples

Question 1

Consider the following.

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

  2. Evaluate $\sqrt[3]{x}$3x 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

11U.B.1.2

Determine, through investigation using a variety of tools and strategies, the value of a power with a rational exponent

What is Mathspace

About Mathspace