Math, asked by himani37, 1 year ago

(81/16)-1/2 * (2/3)2 ÷(3/2)-2

Answers

Answered by DaIncredible
5
Hey friend,
Here is the answer you were looking for:
( \frac{81}{16} )^{ -  \frac{1}{2} }  \times  {( \frac{2}{3}) }^{2}  \div  {( \frac{3}{2}) }^{ - 2}  \\  \\  using \: th \: identity \\  {( \frac{a}{b}) }^{ - m}  =   {( \frac{b}{a}) }^{m}  \\  \\  =  {( \frac{16}{81}) }^{ \frac{1}{2} }   \times  {( \frac{2}{3} )}^{2}  \div  {( \frac{2}{3}) }^{2}  \\  \\  =  {( \frac{16}{81} )}^{ \frac{1}{2} }  \times  {( \frac{2}{3} )}^{2}  \times   {( \frac{3}{2}) }^{2}   \\  \\  splitting \: we \: get \\  \\  =  \frac{ {4}^{2 \times  \frac{1}{2} } }{ {9}^{2 \times  \frac{1}{2} } }  \times  \frac{ {2}^{2} }{ {3}^{2} }  \times  \frac{ {3}^{2} }{ {2}^{2} }  \\  \\  =  \frac{4}{9}  \times  \frac{2 \times 2}{3 \times 3}  \times  \frac{3 \times 3}{2 \times 2}  \\  \\  =  \frac{4}{9}

Hope this helps!!

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@Mahak24

Thanks...
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