Math, asked by Agastyagupta, 3 months ago

Please give me all answers please

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Answers

Answered by tiwarigopal876
2

Step-by-step explanation:

Answer is given

In these 2 pic above 3 questions solutions is written

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Answered by SachinGupta01
70

Solution - 1

 \sf  \bigg\{ \bigg( \dfrac{1}{3}  \bigg)^{ - 3} - \bigg( \: \dfrac{1}{2}  \bigg)^{ - 3}   \bigg\} \:  \div  \bigg( \dfrac{1}{4}  \bigg) ^{ - 3}

 \sf  \bigg\{ \bigg( \dfrac{3}{1}  \bigg)^{ 3} - \bigg( \: \dfrac{2}{1}  \bigg)^{ 3}   \bigg\} \:  \div  \bigg( \dfrac{4}{1}  \bigg) ^{3}

 \{ \sf    3 ^{ 3} \:  -  \: 2 ^{3} \:  \} \div \: 4 ^{3}

 \{ \sf   \small  3  \times 3 \:  \times  \: 3 \:  -  2 \:  \times  2 \times   2   \} \div \: 4  \times  4 \times 4 \times 4

 \{ \sf \: 21 \:   -   \: 8 \:  \} \:  \div  \: 64

\sf  19  \: \:  \div  \: 64

 \sf \blue{So, \:  Our  \: answer \:  is  \: \:   \dfrac{19}{64} }

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Solution - 2

 \sf \bigg \{ \bigg( \dfrac{4}{3} \bigg)^ { - 1}  \:  -  \bigg( \dfrac{1}{4} \bigg)^{ - 1}\bigg\} ^{ - 1}

 \sf \bigg \{ \bigg( \dfrac{3}{4}  \bigg)  \:  -  \bigg( \dfrac{4}{1} \bigg)\bigg\} ^{ - 1}

 \sf \bigg \{  \dfrac{3 - 16}{4}   \:  \bigg\} ^{ - 1}

 \sf  \bigg \{ \dfrac{ - 13}{4}   \:    \bigg \}^{ - 1}  \:  \:  =  \:  \:  \dfrac{ -4}{13}   \:

 \sf \blue{So, \:  Our  \: answer \:  is  \: \:    - \dfrac {  4}{13} }

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Solution - 3

\large [  (5 ^{ - 1}  \:  \times  \: 3^{ - 1}  )] \:    \div   \: 6 ^{ - 1} ]

 \bigg [ \bigg( \dfrac{1}{5} \:  \times  \:  \dfrac{1}{3}  \bigg)\bigg]^{ - 1}  \:  \div  \:  \dfrac{1}{6}  \ \bigg]

 \sf \:  \bigg[   \dfrac{1}{15}     ^{ - 1}  \:  \div  \:  \dfrac{1}{6}  \: \bigg]

 \sf \:  \bigg[   \dfrac{15}{1}     ^{ }  \:  \div  \:  \dfrac{1}{6}  \: \bigg]

 \sf \:     \dfrac{15}{1}     ^{ }  \:   \times  \:  \dfrac{6}{1}  \: =   \:  \dfrac{90}{1}

 \sf \blue{So, \:  Our  \: answer \:  is  \: \: \dfrac {9}{1} }

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