Question

Find the value of $4^{\frac{3}{2}}$ .
(2 marks)

Answer 1

Using $a^{\frac{m}{n}}$=$(a^{\frac{1}{n}}{)}^m$ =$\sqrt[n]{na}{)}^m$
$4^{\frac{3}{2}}$ can be written as;
$=(4^{\frac{1}{2}}{)}^3$
$=(\sqrt[2]{24}{)}^3$
(1 mark)
$=2^3$
$=8$
(1 mark)