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

Step-by-step explanation:
[tex] = \frac{10ab}{ {c}^{3}d } \div \frac{15a {b}^{3} }{7 {c}^{3} {d}^{4} } [/tex]
[tex] = \frac{10ab}{ {c}^{3} d} \times \frac{7 {c}^{3} {d}^{4} }{15a {b}^{3} } [/tex]
[tex] = \frac{70ab {c}^{3} {d}^{4} }{15a {b}^{3} {c}^{3} d} [/tex]
[tex] = \frac{70}{15} {a}^{1 - 1} {b}^{1 - 3} {c}^{3 - 3} {d}^{4 - 1} [/tex]
[tex] = \frac{14}{3} {a}^{0} {b}^{ - 2} {c}^{0} {d}^{3} [/tex]
[tex] = \frac{14 {d}^{3} }{3 {b}^{2} } [/tex]