Math, asked by shivenjha, 10 months ago

9 to the power 6 into 7 to the power 4 divided by 3 to the power 8 into 21 .
Express in exponential form​

Answers

Answered by kodidasuchakri2546
0

Answer:

THIS IS THE ANSWER.........

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Answered by sanketj
0

 \:  \:  \:  \:  \frac{ {9}^{6}  \times  {7}^{4} }{ {3}^{8} \times 21 }   \\  = \:  \frac{ {( {3}^{2}) }^{6}  \times  {7}^{4} }{  {3}^{8} \times  {3}^{1}  \times 7 }    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  ... \: ( { {a}^{m} )}^{n}  =  {a}^{mn} \\  =  \frac{ {3}^{12}  \times  {7}^{4} }{ {3}^{9}  \times  {7}^{1} }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ... \: ( {a}^{m}  \times  {a}^{n}  =  {a}^{m + n} ) \\  =  {3}^{12 - 9}  \times  {7}^{4 - 1}  \:  \:  \: ... \: ( \frac{ {a}^{m} }{ {a}^{n} }  =  {a}^{m - n} ) \\  =  {3}^{3}  \times  {7}^{3}  \\  =  {(3 \times 7)}^{3}  \:  \:  \: ... \: ( {a}^{m} {b}^{m}   =  {(ab)}^{m} ) \\  =  {21}^{3}

Hence, the exponential form of the given expression is 21³.

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