Find: $16^{\frac{3}{2}}$

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Solution

${(16)}^{\frac{3}{2}}$

$= {(4^{2})}^{\frac{3}{2}}$

$= {(4)}^{2 \times \frac{3}{2}}$ [ $∵ (x^{a})^{b} = x^{a \times b}$ ]
$= 4^{3}$

$= 64$
Hence, $16^{\frac{3}{2}} = 64$

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16^{\frac{3}{2}}

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