Question

Perform the indicated operation 10ab/c^3d ÷ 15ab^3/7c^3d^4​

Answer 1

Step-by-step explanation:

$= \frac{10ab}{ {c}^{3}d } \div \frac{15a {b}^{3} }{7 {c}^{3} {d}^{4} }$

$= \frac{10ab}{ {c}^{3} d} \times \frac{7 {c}^{3} {d}^{4} }{15a {b}^{3} }$

$= \frac{70ab {c}^{3} {d}^{4} }{15a {b}^{3} {c}^{3} d}$

$= \frac{70}{15} {a}^{1 - 1} {b}^{1 - 3} {c}^{3 - 3} {d}^{4 - 1}$

$= \frac{14}{3} {a}^{0} {b}^{ - 2} {c}^{0} {d}^{3}$

$= \frac{14 {d}^{3} }{3 {b}^{2} }$