Math, asked by manoranjanmohanti4, 1 month ago

simplify Exponents and power chapter question.please solve it fast.i will mark as branilest you ​

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Answered by pranay9018
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Answer:

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Step-by-step explanation:

( \frac{ {2}^{7} }{ {2}^{3} } ) \times  {2}^{5}

we know that through laws of exponents

 {a}^{m}  \times  {a}^{n}  \\  =  >  {a}^{m + n}

( \frac{ {2}^{7}\times  {2}^{5}   }{ {2}^{3} } )  \\  =  >  \frac{ {2}^{7 + 5} }{ {2}^{3} }  \\  =  >  \frac{ {2}^{12} }{ {2}^{3} }

we know that

 \frac{ {a}^{m} }{ {a}^{n} }  =  {a}^{m - n}

 =  > \frac{ {2}^{12} }{ {2}^{3} }  \\  =  >  {2}^{12 - 3}  =  {2}^{9}  \\  =  > 512

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