Question

Simplify
1. 2 2/3 × 2 1/5
2. 7 1/2 × 8 1/2

Answer 1

child please check the above attachment

Answer 2

$<b> <u>Hey!</u> </b>$

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$<u> Law of Exponents </u>$


$|1.| \: \: 2 {}^{ \frac{2}{3} } \times 2 {}^{ \frac{1}{5} }$

→ Using law of exponents ,

$= > a {}^{m} \times \: a {}^{n} = a {}^{m + n}$

This gives ,

$= > 2 {}^{ \frac{2}{3} } \times 2 {}^{ \frac{1}{5} } = 2 {}^{( \frac{2}{3} + \frac{1}{5} )} \\ \\ = > 2 {}^{ \frac{10 + 3}{15} } = 2 {}^{ \frac{13}{15} }$

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$|2.| \: \: 7 {}^{ \frac{1}{2} } \times 8 {}^{ \frac{1}{2} }$

Using law of exponents ,

$= > a {}^{m} \times b {}^{m} = (ab) {}^{m}$

This gives ,

$= > 7 {}^{ \frac{1}{2} } \times 8 {}^{ \frac{1}{2} } = (56) {}^{ \frac{1}{2} }$

$<i> <u> Thanks !! </u> </i>$
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