Question

18a^4b^5c^7 divide by 27a^2b^2c^2

Answer 1

Here,

$\large \green{ \bf( {18a}^{4} {b}^{5} {c}^{7} ) \gray{\div }( {27a}^{2} {b}^{2} {c}^{2} )}$

Now,

$\to \: \: \sf \frac{18 {a}^{4} {b}^{5} {c}^{7} }{27 {a}^{2} {b}^{2} {c}^{2} } \\ \\ \to \: \: \sf \frac{18 \times {a}^{4} \times {b}^{5} \times {c}^{7} }{ 27 \times {a}^{2} \times {b}^{2} \times {c}^{2} } \\ \\ \to \: \: \sf \frac{18}{27 } \times \frac{ {a}^{4} }{ {a}^{2} } \times \frac{ {b}^{5} }{ {b}^{2} } \times \frac{ {c}^{7} }{ {c}^{2} } \\ \\ \to \: \: \sf \frac{ \cancel9 \times 2}{ \cancel9 \times 3} \times \frac{ {a}^{4} }{ {a}^{2} } \times \frac{ {b}^{5} }{ {b}^{2} } \times \frac{ {c}^{7} }{ {c}^{2} } \\ \\ \to \: \: \sf \frac{2}{3} \times {a}^{(4 - 2)} \times {b}^{(5 - 2)} \times {c}^{(7 - 2)} \\ \\ \to \: \: \sf \frac{2}{3} \times {a}^{2} \times {b}^{3} \times {c}^{5} \\ \\ \to \: \: \sf \pink{\frac{2 {a}^{2} {b}^{3} {c}^{5} }{3} }$

Thus,

• The Quotient is $\boxed{\tt \red{\frac{2 {a}^{2} {b}^{3} {c}^{5} }{3} }}$ .