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Expanding a Rational Number Using Powers

Question 1 ii...

Question

Find

$125^{\frac{1}{3}}$

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Solution

We have
$125^{\frac{1}{3}}$
$= {(5^{3})}^{\frac{1}{3}}$
$= 5$ [ $∵ (a^{m})^{n} = a^{(m \times n)}$ ]

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

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Q. Question 9
Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving remainders 1, 2 and 3, respectively.

{(\frac{64}{125})}^{1 / 3}

\sqrt{? + 483} \div 6 = 125^{1 / 3}

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Expanding a Rational Number Using Powers

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