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Aleksandr [31]
2 years ago
12

Please answer the questions

Mathematics
1 answer:
Naily [24]2 years ago
5 0

Answer:

1/18

Step-by-step explanation:

( {2}^{ - 3}  \times  {16}^{ \frac{1}{2} } ) \div ( {81}^{ \frac{3}{4} }  \times  {27}^{  - \frac{1}{3} } ) \\  \\  =( {2}^{ - 3}  \times  {2}^{ \frac{4 \times 1}{2} } ) \div ( {3}^{ \frac{4 \times 3}{4} }  \times  {3}^{  - \frac{3 \times 1}{3} } ) \\  \\=( {2}^{ - 3}  \times  {2}^{ 2} ) \div ( {3}^{ 3 }  \times  {3}^{  - 1 } ) \\  \\=( {2}^{ - 3 + 2} ) \div ( {3}^{ 3 - 1 }  )  \\  \\  =  {2}^{ - 1}  \div  {3}^{2}  \\  \\  =  \frac{1}{2}  \times  \frac{1}{9}  \\  \\  =  \frac{1}{18}

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