Question

Pls answer these 2 questions
Will mark u as the brainliest plsssssssssssssssssssssssssssssssss pls quickly pls​

Answer 1

$\huge{\underline{\underline{\red{♡Solution→}}}}$

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$(i) \: {(64)}^{ \frac{2}{3} } + \sqrt[3]{125} + {3}^{0} + \frac{1}{ {2}^{ - 5} } + ( {27)}^{ - \frac{2}{3} } \times ( { \frac{25}{9} )}^{ - \frac{1}{2} } \\ = (( { {4)}^{3} )}^{ \frac{2}{3} } + \sqrt[3]{5 \times 5 \times 5} + 1 + ( {2)}^{5} + \frac{1}{( {27)}^{ \frac{2}{3} } } \times ( { \frac{9}{25} )}^{ \frac{1}{2} } \\ = {4}^{2} + 5 + 1 + 32 + \frac{1}{(( { {3)}^{3}) }^{ \frac{2}{3} } } \times (( { { \frac{3}{5}) }^{2} ) }^{ \frac{1}{2} } \\ = 16 + 5 + 1 + 32 + \frac{1}{9} \times \frac{3}{5} \\ = 22 + 32 + \frac{1}{15} \\ = 54 + \frac{1}{15} \\ = \frac{54 \times 15 + 1}{15} \\ \\ = \frac{811}{15}$

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$(ii) \: \sqrt{ \frac{ {y}^{3} }{x} } \times \sqrt{ \frac{y}{x} } \\ \\ = \sqrt{ \frac{ {y}^{3} \times y}{x \times x} } \\ \\ = \sqrt{ \frac{ {y}^{4} }{ {x}^{2} } } \\ \\ = \frac{ {y}^{2} }{x}$

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Mark as Brainliest !! ✨✨