What is the product?

StartFraction 5 k Over 6 EndFraction times StartFraction 3 Over 2 k cubed EndFraction
StartFraction 5 Over 4 k squared EndFraction
StartFraction 5 k squared Over 4 EndFraction
StartFraction 5 k Superscript 4 Baseline Over 4 EndFraction
StartFraction 5 Over 4 k Superscript 4 Baseline EndFraction

Respuesta :

Answer:

StartFraction 5 Over 4 k squared EndFraction

Step-by-step explanation:

We are asked to find the next product:

[tex] \frac{5 k}{6} \times \frac{3}{2 k^3} [/tex]

Dividing numerator and denominator by k:

[tex] \frac{5 \frac{k}{k}}{6} \times \frac{3}{2 \frac{k^3}{k}} [/tex]

[tex] \frac{5}{6} \times \frac{3}{2 k^2} [/tex]

Dividing numerator and denominator by 3:

[tex] \frac{5}{\frac{6}{3}} \times \frac{\frac{3}{3}}{2 k^2} [/tex]

[tex] \frac{5}{2} \times \frac{1}{2 k^2} = \frac{5}{4 k^2} [/tex]

Answer:

a

Step-by-step explanation: