Math, asked by vedantpalav52, 2 months ago

40m5 ÷ 30m3 what the answer of this question​

Answers

Answered by darshankaushal54
1

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Attachments:
Answered by pulakmath007
5

SOLUTION

TO DETERMINE

 \displaystyle \sf{40  \: {m}^{5}  \div 30 \:  {m}^{3} }

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

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

EVALUATION

 \displaystyle \sf{40  \: {m}^{5}  \div 30 \:  {m}^{3} }

 \displaystyle \sf{ =  \frac{40  \: {m}^{5}}{30 \:  {m}^{3}}    }

 \displaystyle \sf{ =   \frac{40}{30}  \times \frac{{m}^{5}}{{m}^{3}}    }

 \displaystyle \sf{ =   \frac{4}{3}  \times {m}^{5 - 3}   }

 \displaystyle \sf{ =   \frac{4}{3}  \times {m}^{2}   }

 \displaystyle \sf{ =   \frac{4}{3}  {m}^{2}   }

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