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CanadaON
Grade 12

Conversions between exponential 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

12CT.A.2.1

Simplify algebraic expressions containing integer and rational exponents using the laws of exponents (e.g., x^3/x^(1/2), sqrt(x^6 y^12))

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