Question

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

Answer 1

a

Explanation:

Answer 2

StartFraction 5 Over 4 k squared EndFraction

Explanation:

We are asked to find the next product:

`(5 k)/(6) * (3)/(2 k^3)`

Dividing numerator and denominator by k:

`(5 (k)/(k))/(6) * (3)/(2 (k^3)/(k))`

`(5)/(6) * (3)/(2 k^2)`

Dividing numerator and denominator by 3:

`(5)/((6)/(3)) * ((3)/(3))/(2 k^2)`

`(5)/(2) * (1)/(2 k^2) = (5)/(4 k^2)`