Question

Divide this equation​

Answer 1

$\large\sf\underline{Given\::}$

• $\sf\:72m^{7}n^{5} \:by\: 24m^{2}n^{3}$

‎

‎

$\large\sf\underline{To\::}$

• Divide the given expression

‎

‎

$\large\sf\underline{Solution\::}$

$\sf\:72m^{7}n^{5} \:by\: 24m^{2}n^{3}$

$\sf\implies\:\frac{72m^{7}n^{5}}{24m^{2}n^{3}}$

$\sf\implies\:\frac{\cancel{72}m^{7}n^{5}}{\cancel{24}m^{2}n^{3}}$

$\sf\implies\:\frac{\cancel{6}m^{7}n^{5}}{\cancel{2}m^{2}n^{3}}$

$\sf\implies\:\frac{\cancel{3}m^{7}n^{5}}{\cancel{1}m^{2}n^{3}}$

$\sf\implies\:\frac{3m^{7}n^{5}}{m^{2}n^{3}}$

‎

• ‎ Using the property of indices

‎

‎

$\sf\implies\:3m^{7-2}n^{5-3}$

$\large{\mathfrak\red{\implies\:3m^{5}n^{2}}}$

‎

‎ ________________________

$\sf\:‎Indices\:some\:more\:formula\::‎$

• $\sf\:a^{m} \times a^{n} = a^{m+n}$

• $\sf\:\frac{a^{m}}{a^{n}} = a^{m-n}$

• $\sf\:(a^{m})^{n} = a^{m \times n}$

• $\sf\:a^{0}=1$

• $\sf\:(ab)^{m}=a^{m} \times b^{m}$

_______________________

‎

‎

_

!! Hope it helps !!