Math, asked by ananya4513, 4 months ago

please tell me this question answer​

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Answers

Answered by khushbumahak
1

Answer:

 (\frac{1}{3} ) {}^{4}  \div ( \frac{1}{9} ) {}^{6}

 \frac{1}{81}  \div  \frac{1}{531441}

 \frac{1}{81}  \times  \frac{531441}{1}

 = 6561

hope it will help you.

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Answered by Anonymous
1

Step-by-step explanation:

 ({ \frac{1}{3}) }^{4}  \div  ({ \frac{1}{9}) }^{6}  \\  \\  =  ({ \frac{1}{3} )}^{4}  \div  (({ \frac{1}{3}) }^{2} ) {}^{6}  \\  \\  =  ({ \frac{1}{3} )}^{4}  \div  {( \frac{1}{3} )}^{6 \times 2}  \\  \\  =  ({ \frac{1}{3}) }^{4}  \div  {( \frac{1}{3} )}^{12}  \\  \\  =  { (\frac{1}{3}) }^{4 - 12}  \\  \\  =  { (\frac{1}{3}) }^{ - 8}  \\  \\  =  { \frac{1}{ (\frac{1}{3} ) {}^{8} }   } \\  \\  =  {3}^{8}  \\  \\  \\  \\ using \: formula \:  \:  \:  \:  {x}^{m}   \div  {x}^{n}  =  {x}^{ m-n }  \\  \\  ({x}^{m} ) {}^{n}  =  {x}^{m \times n} \\  \\  {x}^{ - n}  =  \frac{1}{ {x}^{n} }

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