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laila [671]
3 years ago
13

How do I solve this question?​

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

-7  \frac{1}{2}

Step-by-step explanation:

\frac{6 {x}^{ - 1}  {y}^{ \frac{7}{2} } }{ \sqrt{16 {x}^{2} }  {y}^{2} } \\  \\  =   \frac{6 {x}^{ - 1}  {y}^{ \frac{7}{2} } }{ \sqrt{(4 {x} {y})^{2} }}\\  \\  =  \frac{6 {x}^{ - 1}  {y}^{ \frac{7}{2} } }{ {4 {x} {y}}}\\  \\  =   \frac{6}{4}  {x }^{ - 1 - 1}  {y}^{ \frac{7}{2} - 1 }  \\  \\   =   \frac{3}{2}  {x }^{ - 2}  {y}^{ \frac{5}{2} }  \\  \\ equating \: it \: with \:  \\ a {x}^{b}  {y}^{c}  \\  \\  \implies \\ a =  \frac{3}{2}  \\  \\ b =  - 2 \\  \\ c =  \frac{5}{2}  \\  \\ abc =  \frac{3}{2}  \times ( - 2) \times  \frac{5}{2}  \\  \\  =  -  \frac{15}{2}   \\  \\  =- 7 \frac{1}{2}  \\

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