Question

please tell this answer qs fast as you can but give right answer​

Answer 1

$\bigstar$ Question:

Evaluate :

$\sqrt{ \frac{1}{4} } + {(0.01)}^{ \frac{( - 1)}{2} } - {27}^{ \frac{2}{3} }$

$\bigstar$Given:

$\sqrt{ \frac{1}{4} } + {(0.01)}^{ \frac{( - 1)}{2} } - {27}^{ \frac{2}{3} }$

$\bigstar$To find:

Evaluate the value of

$\sqrt{ \frac{1}{4} } + {(0.01)}^{ \frac{( - 1)}{2} } - {27}^{ \frac{2}{3} }$

$\bigstar$ Solution:

$\sqrt{ \frac{1}{4} } + {(0.01)}^{ \frac{( - 1)}{2} } - {27}^{ \frac{2}{3} } \\ \implies \: \frac{ \sqrt{1} }{ \sqrt{4} } + { (\frac{1}{100}) }^{ \frac{( - 1)}{2} } - {(3)}^{3 \times \frac{2}{3} } \\ \implies \: \frac{ \sqrt{1 \times 1} }{ \sqrt {2 \times 2}} + { (\frac{1}{10}) }^{2 \times \frac{( - 1)}{2} } - {( 3)}^{2} \\ \implies \: \frac{1}{2} + { \frac{1}{10} }^{( - 1)} - 9 \\ \implies \: \frac{1}{2} + 10 - 9 \\ \implies \: \frac{1}{2} + 1 \\ \implies \: \frac{1}{2} + \frac{2}{2} \\ \implies \: \frac{(2 + 1)}{2} \\ \implies \: \frac{3}{2} \: or \: 1 \frac{1}{2}$

$\bigstar$Answer:

Therefore, the answer is :

$\frac{3}{2} \: or \: 1\frac{1}{2}$

Answer 2

Answer:

$\huge \orange \checkmark \: \rm ANSWER : \: 1 \frac{1}{2} \: \: OR \: \: 1.5$

Step-by-step explanation:

$\huge \red \dagger \: \rm {QUESTION :} \\ \\ \sqrt{ \frac{1}{4} } + {(0.01)}^{ \frac{ - 1}{2} } - {(27)}^{ \frac{2}{3} }$

$\huge \pink\dagger \: \rm{HOW \: TO \: SOLVE \: ?} \\ \\ \sqrt{x} = {x}^{ \frac{1}{2} } \\ \\ {x}^{ - 1} = \frac{1}{x} \\ \\ ({ \frac{x}{y} )}^{m} = \frac{ {x}^{m} }{ {y}^{m} }$

$\huge \green \dagger \: \rm SOLUTION : \\ \\ \sqrt{ \frac{1}{4} } + {(0.01)}^{ \frac{ - 1}{2} } - {(27)}^{ \frac{2}{3} } \\ \\ = \: { (\frac{1}{4} )}^{ \frac{1}{2} } + { (\frac{1}{100}) }^{ \frac{ - 1}{2} } - ( {3}^{3} )^{ \frac{2}{3} } \\ \\ = \frac{(1) ^ \frac{1}{2} }{ ({4})^ \frac{1}{2} } + {100}^ \frac{1}{2} - ( {3}^{ \cancel 3} )^{ \frac{2}{ \cancel 3} } \\ \\ = \frac{1}{( {2}^{2}) ^{ \frac{1}{2} } } + ( {10}^{2}) ^{ \frac{1}{2} } - {3}^{2} \\ \\ = \frac{1}{( {2}^{ \cancel 2}) ^{ \frac{1}{ \cancel2} } }+ ( {10}^{ \cancel 2}) ^{ \frac{1}{ \cancel 2} } - 9 \\ \\ = \frac{1}{2} + 10 - 9 \\ \\ = \frac{1}{2} + 1 \\ \\ = \frac{1 + 2}{2} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ \\ = 1.5$

$\huge \blue \checkmark \: \rm ANSWER : \: 1 \frac{1}{2} \: \: OR \: \: 1.5$

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