Math, asked by rakshikaelando, 9 months ago

plz answer step by step and fast

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Answered by maheshpurohit2004
2

Ans:- a. 16/9

         b. 6075

         c. 21952

Step-by-step explanation:

a. (-3)^{2}÷(\frac{-9}{4} )^{2}

   = 9 ÷ \frac{81}{16\\}

   =\frac{9}{\frac{81}{16\\} }  

   = 9 *\frac{16}{81}

   =\frac{16}{9}

b. \frac{3^{5} *5^{4}*27}{5^{2}*3^{3}  }

 =\frac{3^{5} *5^{2}*5^{2} *3^{3} }{5^{2} *3^{3}}   [∵ From cancellation]

 =3^{5}*5^{2}

 = 243×25

 = 6075

c. \frac{14^{2} *7^{3}*2^{6} }{4*7^{2}}

=\frac{14^{2} *7^{2}*7*2^{2}*2^{4}  }{2^{2} *7^{2}}

={14^{2} *7*2^{4}   [∵ From cancellation]

= 196 × 7 × 16

= 21952

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