Math, asked by nhb1342, 2 months ago

Please answer fast!!!! ​

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Answered by mathgenius11
1

Step-by-step explanation:

 \frac{15 \times  \frac{1}{ {3}^{5}  } \times  \frac{1}{ {10}^{5} }  }{ \frac{1}{ {5}^{5} }  \times  \frac{1}{ {6}^{3} } }  \\  =  \frac{15  \times  \frac{1}{243}  \times  \frac{1}{100000} }{ \frac{1}{3125} \times  \frac{1}{216}  }  \\  =  \frac{ \frac{ \frac{15}{243 \times 100000} }{1} }{3125 \times 216}  \\  =  \frac{15 \times 216 \times 3125}{243 \times 100000}  \\  =  \frac{101.25}{ 243}  \\  = 0.416

Answered by hudamohammad8694
1

Answer: \frac{5}{12}

Step-by-step explanation: \frac{3 \times 5 \times  {3}^{- 5}  \times  {2}^{ - 5}  \times  {5}^{ - 5} }{ { {5}^{ - 5} } \times  {2 }^{ - 3} \times  {3 }^{ - 3}  }

Now we try to cancel out like terms in numerator and denominator. {3}^{ 1 - 5 - ( - 3)}  \times  {5}^{ 1 - 5 - ( - 5) \times  {2}^{ - 5 - ( - 3)} }

After calculating we get: {3}^{ - 1}  \times  {5}^{1} \times  { 2}^{ - 2}

Ultimately you will get: \frac{1}{3}  \times 5 \times  \frac{1}{ {2}^{2} }

Furtherly you will get final answer: \frac{5}{12}

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