Find: ${(64)}^{\frac{1}{2}}$

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Solution

$\Rightarrow {(64)}^{\frac{1}{2}}$
$\Rightarrow {(8^{2})}^{\frac{1}{2}}$ [Because $8 \times 8 = 8^{2} = 64$ ]
$\Rightarrow 8^{2 \times \frac{1}{2}}$ [ $(a^{m})^{n} = a^{m \times n}$ ]
$\Rightarrow 8^{1} = 8$
Hence, ${(64)}^{\frac{1}{2}} = 8$

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64^{\frac{1}{2}}

Question 1 (i)
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