NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Conversions between index and surd forms
Lesson

Worked Examples

Question 1

Consider the following.

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

M8-9

Manipulate complex numbers and present them graphically

91577

Apply the algebra of complex numbers in solving problems

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