Math, asked by nidhibhatia21212, 2 months ago

6⁴x9²x25²/3² X4²x 15⁴​

Answers

Answered by Anonymous
1

Answer:

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Attachments:
Answered by Anonymous
3

Answer:

9

Step-by-step explanation:

 \frac{ {6}^{4 }  \times  {9}^{2} \times  {25}^{2}  }{ {3}^{2} \times  {4}^{2}  \times  {15}^{4}  }  \\  =  \frac{( {2 \times 3)}^{4}  \times ( {3 \times 3)}^{2} \times ( {5 \times 5)}^{2}  }{ {3}^{2}  \times( {2 \times 2)}^{2}  \times ( {3 \times 5})^{4}   } \\  =  \frac{ {2}^{4} \times  {3}^{4}  \times  {3}^{2}   \times  {3}^{2} \times  {5}^{2}  \times  {5}^{2}  }{ {2}^{2} \times  {2}^{2}  \times  {3}^{2}   \times  {3}^{4} \times  {5}^{4}  }  \\  =  \frac{ {2}^{4} \times  {3}^{8}   \times  {5}^{4} }{ {2}^{4} \times  {3}^{6} \times  {5}^{4}   }  \\  =  {3}^{8 - 6}  \\  =  {3}^{2}  \\  = 9

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