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Rules of Division of Terms

78 m76 m6=

Question

$\frac{78 m^{7}}{6 m^{6}} =$

13 m

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13 m^{13}

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72 m

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Solution

The correct option is A $13 m$
$\frac{78 m^{7}}{6 m^{6}} = \frac{6 \times 13 \times m^{7}}{6 \times m^{6}}$
Canceling the common term in numerator and denominator and subtracting the exponent of respective variable we get,
$\frac{6 \times 13 \times m^{7}}{6 \times m^{6}} = 13 \times m^{(7 - 6)} = 13 m$

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