lawsons8989
lawsons8989 lawsons8989
  • 07-11-2021
  • Mathematics
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perform the indicated operation 10ab/c^3d ÷ 15ab^3/7c^3d^4​

perform the indicated operation 10abc3d 15ab37c3d4 class=

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syahbanazacki
syahbanazacki syahbanazacki
  • 07-11-2021

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]

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