Question

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

Answer 1

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Answer 2

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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