Math, asked by dhruvshah85, 5 months ago

evaluate 4÷(216)⅔ - 1 ÷ (256)¾​

Answers

Answered by dibyangshughosh309
16

 = 4 \div  {216}^{ \frac{2}{3} }  - 1 \div  {256}^{ \frac{3}{4} }

 = 4 \div   { \sqrt[3]{216} }^{2}   - 1 \div  { \sqrt[4]{256} }^{3}

 = 4 \div  {6}^{2}  - 1 \div  {4}^{3}

 = 4 \times  \frac{1}{36}  - 1 \times  \ \frac{1}{64}

 =  \frac{1}{9}  -  \frac{1}{64}

 =  \frac{64 - 9}{576}

 =   \frac{55}{576}

 = 0.095

 = 0.10

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